This commit is contained in:
Ingy döt Net 2013-04-10 21:29:02 -07:00
parent 764da6cbbb
commit db842d013d
19005 changed files with 197040 additions and 7 deletions

View file

@ -0,0 +1,27 @@
/*REXX pgm finds LCM (Least Common Multiple) of a number of integers.*/
numeric digits 9000 /*handle nine-thousand digit nums*/
say 'the LCM of 19 & 0 is:' lcm(19 0)
say 'the LCM of 0 & 85 is:' lcm( 0 85)
say 'the LCM of 14 & -6 is:' lcm(14,-6)
say 'the LCM of 18 & 12 is:' lcm(18 12)
say 'the LCM of 18 & 12 & -5 is:' lcm(18 12,-5)
say 'the LCM of 18 & 12 & -5 & 97 is:' lcm(18,12,-5,97)
say 'the LCM of 2**19-1 & 2**521-1 is:' lcm(2**19-1 2**521-1)
/*──(above)── the 7th and 13th Mersenne primes.*/
exit /*stick a fork in it, we're done.*/
/*──────────────────────────────────LCM subroutine──────────────────────*/
lcm: procedure; $=; do j=1 for arg(); $=$ arg(j); end
x=abs(word($,1)) /* [↑] build a list of arguments.*/
do k=2 to words($); !=abs(word($,k)); if !=0 then return 0
x=x*! / gcd(x,!) /*have GCD do the heavy lifting.*/
end /*k*/
return x /*return with the money. */
/*──────────────────────────────────GCD subroutine──────────────────────*/
gcd: procedure; $=; do j=1 for arg(); $=$ arg(j); end
parse var $ x z .; if x=0 then x=z /* [↑] build a list of arguments.*/
x=abs(x)
do k=2 to words($); y=abs(word($,k)); if y=0 then iterate
do until _==0; _=x//y; x=y; y=_; end /*until*/
end /*k*/
return x /*return with the money. */