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Posted 14 Feb 2011

Fast Greatest Common Divisor (GCD) Algorithm

, 14 Feb 2011
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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);


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


About the Author

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... Pin
DrABELL17-Feb-11 12:17
memberDrABELL17-Feb-11 12:17 
GeneralDr. Abell, Please stop. Pin
jfriedman17-Feb-11 11:30
memberjfriedman17-Feb-11 11:30 
GeneralHi Richard, Regarding my previous post: obviously I was tal... Pin
DrABELL17-Feb-11 2:59
memberDrABELL17-Feb-11 2:59 
GeneralRe: "You point (1) is just a re-wording of my statement ..." No... Pin
Richard Deeming21-Feb-11 10:54
memberRichard Deeming21-Feb-11 10:54 
General"some languages (e.g. VB) by default use ByRef instead of by... Pin
Richard Deeming17-Feb-11 2:33
memberRichard Deeming17-Feb-11 2:33 
GeneralHi, 1. Apparently I refer to "null" (re: " check if th... Pin
DrABELL15-Feb-11 5:22
memberDrABELL15-Feb-11 5:22 
GeneralDr.Abell, int is a value type which can never be null. The b... Pin
jfriedman15-Feb-11 4:03
memberjfriedman15-Feb-11 4:03 
GeneralJulius, Thanks for your comment, but I still think that simp... Pin
DrABELL15-Feb-11 2:29
memberDrABELL15-Feb-11 2:29 
General1.) You are claiming that if both numbers are equal the Eucl... Pin
jfriedman14-Feb-11 23:25
memberjfriedman14-Feb-11 23:25 
General1. There are 3 reasons given: which one you are talking abou... Pin
DrABELL14-Feb-11 18:23
memberDrABELL14-Feb-11 18:23 
GeneralI am not sure how correct your assertation is... I dont' use... Pin
jfriedman14-Feb-11 10:37
memberjfriedman14-Feb-11 10:37 
GeneralHi: I would NOT recommend the Alternate 3 for several reaso... Pin
DrABELL14-Feb-11 9:16
memberDrABELL14-Feb-11 9:16 

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