Smallest multiple: Difference between revisions
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<br>2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder. |
<br>2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder. |
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<br>What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20? |
<br>What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20? |
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=={{header|Go}}== |
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{{trans|Wren}} |
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{{libheader|Go-rcu}} |
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<lang go>package main |
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import ( |
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"fmt" |
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"math/big" |
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"rcu" |
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) |
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func lcm(n int) *big.Int { |
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lcm := big.NewInt(1) |
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t := new(big.Int) |
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for _, p := range rcu.Primes(n) { |
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f := p |
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for f*p <= n { |
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f *= p |
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} |
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lcm.Mul(lcm, t.SetUint64(uint64(f))) |
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} |
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return lcm |
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} |
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func main() { |
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fmt.Println("The LCMs of the numbers 1 to N inclusive is:") |
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for _, i := range []int{10, 20, 200, 2000} { |
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fmt.Printf("%4d: %s\n", i, lcm(i)) |
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} |
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}</lang> |
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{{out}} |
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<pre> |
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The LCMs of the numbers 1 to N inclusive is: |
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10: 2520 |
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20: 232792560 |
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200: 337293588832926264639465766794841407432394382785157234228847021917234018060677390066992000 |
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2000: 151117794877444315307536308337572822173736308853579339903227904473000476322347234655122160866668946941993951014270933512030194957221371956828843521568082173786251242333157830450435623211664308500316844478617809101158220672108895053508829266120497031742749376045929890296052805527212315382805219353316270742572401962035464878235703759464796806075131056520079836955770415021318508272982103736658633390411347759000563271226062182345964184167346918225243856348794013355418404695826256911622054015423611375261945905974225257659010379414787547681984112941581325198396634685659217861208771400322507388161967513719166366839894214040787733471287845629833993885413462225294548785581641804620417256563685280586511301918399010451347815776570842790738545306707750937624267501103840324470083425714138183905657667736579430274197734179172691637931540695631396056193786415805463680000 |
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</pre> |
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=={{header|Pascal}}== |
=={{header|Pascal}}== |
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Here the simplest way, like Raku, check the highest exponent of every prime in range<BR> |
Here the simplest way, like Raku, check the highest exponent of every prime in range<BR> |
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232792560 |
232792560 |
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</pre> |
</pre> |
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=={{header|Raku}}== |
=={{header|Raku}}== |
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Exercise with some larger values as well. |
Exercise with some larger values as well. |