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Fast Greatest Common Divisor (GCD) Algorithm

, 14 Feb 2011 CPOL
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/// /// Find the Greatest Common Divisor /// /// Number a /// Number b /// The greatest common Divisor public static long GCD(long a, long b) ...
       /// <summary>
       /// Find the Greatest Common Divisor
       /// </summary>
       /// <param name="a">Number a</param>
       /// <param name="b">Number b</param>
       /// <returns>The greatest common Divisor</returns>
       public static long GCD(long a, long b)
       {
           while (b != 0)
           {
               long tmp = b;
               b = a % b;
               a = tmp;
           }
 
           return a;
       }
 
       /// <summary>
       /// Find the Least Common Multiple
       /// </summary>
       /// <param name="a">Number a</param>
       /// <param name="b">Number b</param>
       /// <returns>The least common multiple</returns>
       public static long LCM(long a, long b)
       {
           return (a * b) / GCD(a,b);
       }

License

This article, along with any associated source code and files, is licensed under The Code Project Open License (CPOL)

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jfriedman
Software Developer (Senior) ASTI Transportation Inc.
United States United States
Livin in a lonely world, caught the midnight train going anywhere... Only thing is it was a runaway train... and it ain't ever goin back...
 
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Comments and Discussions

 
GeneralDear Julius (jfriedman): My original algorithm (the core pa... PinmemberDrABELL17-Feb-11 13:17 
GeneralDr. Abell, Please stop. http://www.codeproject.com/KB/reci... Pinmemberjfriedman17-Feb-11 12:30 
GeneralHi Richard, Regarding my previous post: obviously I was tal... PinmemberDrABELL17-Feb-11 3:59 
GeneralRe: "You point (1) is just a re-wording of my statement ..." No... PinmemberRichard Deeming21-Feb-11 11:54 
General"some languages (e.g. VB) by default use ByRef instead of by... PinmemberRichard Deeming17-Feb-11 3:33 
GeneralHi, 1. Apparently I refer to "null" (re: "...to check if th... PinmemberDrABELL15-Feb-11 6:22 
GeneralDr.Abell, int is a value type which can never be null. The b... Pinmemberjfriedman15-Feb-11 5:03 
GeneralJulius, Thanks for your comment, but I still think that simp... PinmemberDrABELL15-Feb-11 3:29 
General1.) You are claiming that if both numbers are equal the Eucl... Pinmemberjfriedman15-Feb-11 0:25 
General1. There are 3 reasons given: which one you are talking abou... PinmemberDrABELL14-Feb-11 19:23 
GeneralI am not sure how correct your assertation is... I dont' use... Pinmemberjfriedman14-Feb-11 11:37 
GeneralHi: I would NOT recommend the Alternate 3 for several reaso... PinmemberDrABELL14-Feb-11 10:16 

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