Greatest common divisor: Difference between revisions
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atom parameters allow greater precision, but any fractional parts are immediately and deliberately discarded.<br> |
atom parameters allow greater precision, but any fractional parts are immediately and deliberately discarded.<br> |
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Actually, it is an autoinclude, reproduced below. The first parameter can be a sequence, in which case the second parameter (if provided) is ignored. |
Actually, it is an autoinclude, reproduced below. The first parameter can be a sequence, in which case the second parameter (if provided) is ignored. |
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<lang Phix> |
<!--<lang Phix>--> |
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<span style="color: #008080;">function</span> <span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #004080;">object</span> <span style="color: #000000;">u</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">atom</span> <span style="color: #000000;">v</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span> |
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atom t |
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<span style="color: #004080;">atom</span> <span style="color: #000000;">t</span> |
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if sequence(u) then |
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<span style="color: #008080;">if</span> <span style="color: #004080;">sequence</span><span style="color: #0000FF;">(</span><span style="color: #000000;">u</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span> |
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v = u[1] -- (for the typecheck) |
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<span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">u</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #000080;font-style:italic;">-- (for the typecheck)</span> |
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t = floor(abs(v)) |
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<span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">abs</span><span style="color: #0000FF;">(</span><span style="color: #000000;">v</span><span style="color: #0000FF;">))</span> |
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for i=2 to length(u) do |
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<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">2</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">u</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span> |
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v = u[i] -- (for the typecheck) |
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<span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">u</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> <span style="color: #000080;font-style:italic;">-- (for the typecheck)</span> |
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t = gcd(t,v) |
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<span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #000000;">v</span><span style="color: #0000FF;">)</span> |
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end for |
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span> |
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return t |
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<span style="color: #008080;">return</span> <span style="color: #000000;">t</span> |
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end if |
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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u = floor(abs(u)) |
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<span style="color: #000000;">u</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">abs</span><span style="color: #0000FF;">(</span><span style="color: #000000;">u</span><span style="color: #0000FF;">))</span> |
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v = floor(abs(v)) |
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<span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">abs</span><span style="color: #0000FF;">(</span><span style="color: #000000;">v</span><span style="color: #0000FF;">))</span> |
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while v do |
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<span style="color: #008080;">while</span> <span style="color: #000000;">v</span> <span style="color: #008080;">do</span> |
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t = u |
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<span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">u</span> |
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u = v |
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<span style="color: #000000;">u</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">v</span> |
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v = remainder(t, v) |
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<span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">v</span><span style="color: #0000FF;">)</span> |
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end while |
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<span style="color: #008080;">end</span> <span style="color: #008080;">while</span> |
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return u |
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<span style="color: #008080;">return</span> <span style="color: #000000;">u</span> |
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end function</lang> |
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<span style="color: #008080;">end</span> <span style="color: #008080;">function</span> |
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<!--</lang>--> |
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Sample results |
Sample results |
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<!--<lang Phix>(phixonline)--> |
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<pre> |
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<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 0</span> |
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gcd(0,0) -- 0 |
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<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">24</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">112</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 8</span> |
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gcd(24,-112) -- 8 |
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<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">10</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 10</span> |
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gcd(0, 10) -- 10 |
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<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 10</span> |
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gcd(10, 0) -- 10 |
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<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 10</span> |
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gcd(-10, 0) -- 10 |
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<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">10</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 10</span> |
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gcd(0, -10) -- 10 |
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<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">6</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 3</span> |
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gcd(9, 6) -- 3 |
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<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">6</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">9</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 3</span> |
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gcd(6, 9) -- 3 |
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<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">6</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">9</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 3</span> |
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gcd(-6, 9) -- 3 |
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<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">6</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 3</span> |
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gcd(9, -6) -- 3 |
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<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">6</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">9</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 3</span> |
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gcd(6, -9) -- 3 |
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<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">6</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 3</span> |
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gcd(-9, 6) -- 3 |
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<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">40902</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">24140</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 34 </span> |
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gcd(40902, 24140) -- 34 |
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<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%d\n"</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">70000000000000000000</span><span style="color: #0000FF;">,</span> |
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gcd(70000000000000000000, |
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60000000000000000000000) |
<span style="color: #000000;">60000000000000000000000</span><span style="color: #0000FF;">))</span> |
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<span style="color: #000080;font-style:italic;">-- 10000000000000000000</span> |
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<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">({</span><span style="color: #000000;">57</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">45</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">18</span><span style="color: #0000FF;">,</span><span style="color: #000000;">90</span><span style="color: #0000FF;">,</span><span style="color: #000000;">447</span><span style="color: #0000FF;">})</span> <span style="color: #000080;font-style:italic;">-- 3</span> |
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gcd({57,0,-45,-18,90,447}) -- 3 |
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</ |
<!--</lang>--> |
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=={{header|PHP}}== |
=={{header|PHP}}== |