Radical of an integer: Difference between revisions
add Rexx
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</pre>
=={{header|Rexx}}==
<syntaxhighlight lang="rexx">
/* REXX */
call setp
Numeric Digits 100
/* 1. Radicals from 1 to 50 */
Say 'Radicals of 1..50:'
ol=''
Do n=1 To 50
ol=ol||right(rad(n),5)
If n//10=0 then Do
Say ol
ol=''
End
End
Say ''
Call radt 99999
Call radt 499999
Call radt 999999
Say ''
Say 'Distribution of radicals:'
Call time 'R'
cnt.=0
Do v=1 To 1000000
If v//100000=1 Then Do
ti=v%100000
etime.ti=format(time('E'),4,1)
End
p=rad(v,'cnt')
cnt.p+=1
/**************************************
If p=7 Then
Say v':' rad(v,'lstx') '=' rad(v)
**************************************/
End
etime.10=format(time('E'),4,1)
Do d=0 To 20
If cnt.d>0 Then
Say d':' right(cnt.d,8)
End
Say ''
Say 'Timings:'
Do ti=1 To 10
Say right(ti,2) etime.ti 'seconds'
End
Exit
radt:
Parse Arg u
Say 'The radical of' u 'is' rad(u)'.'
Return
rad:
Parse Arg z,what
zz=z
plist=''
exp.=0
Do Until p*p>z
Do pi=1 By 1 Until p*p>z
p=word(primzahlen,pi)
exp.p=0
Do while z//p=0
exp.p+=1
If pos(p,plist)=0 Then
plist=plist p
z=z%p
End
End
End
exp.z+=1
If pos(z,plist)=0 &z<>1 Then
plist=plist z
Select
When what='lst' Then
Return plist
When what='lstx' Then Do
s=''
Do While plist<>''
Parse Var plist p plist
if exp.p=1 Then
s=s'*'p
Else
s=s'*'p'**'exp.p
End
Return strip(s,,'*')
End
When what='cnt' Then
Return words(plist)
Otherwise Do
rad=1
Do while plist>''
Parse Var plist p plist
rad=rad*p
End
Return rad
End
End
setp:
primzahlen=,
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101,
103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197,
199 211 223 227 229 233 239 241 251 257 263 269 271 277 281 283 293 307 311,
313 317 331 337 347 349 353 359 367 373 379 383 389 397 401 409 419 421 431,
433 439 443 449 457 461 463 467 479 487 491 499 503 509 521 523 541 547 557,
563 569 571 577 587 593 599 601 607 613 617 619 631 641 643 647 653 659 661,
673 677 683 691 701 709 719 727 733 739 743 751 757 761 769 773 787 797 809,
811 821 823 827 829 839 853 857 859 863 877 881 883 887 907 911 919 929 937,
941 947 953 967 971 977 983 991 997 1009 1013 1019 1021 1031 1033 1039 1049
Return</syntaxhighlight>
{{out}}
<pre>
Radicals of 1..50:
1 2 3 2 5 6 7 2 3 10
11 6 13 14 15 2 17 6 19 10
21 22 23 6 5 26 3 14 29 30
31 2 33 34 35 6 37 38 39 10
41 42 43 22 15 46 47 6 7 10
The radical of 99999 is 33333.
The radical of 499999 is 3937.
The radical of 999999 is 111111.
Distribution of radicals:
0: 1
1: 78734
2: 288726
3: 379720
4: 208034
5: 42492
6: 2285
7: 8
Timings:
1 4.2 seconds
2 10.4 seconds
3 18.0 seconds
4 26.1 seconds
5 35.1 seconds
6 44.6 seconds
7 55.9 seconds
8 68.5 seconds
9 83.6 seconds
10 100.6 seconds</pre>
=={{header|RPL}}==
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