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Function `std.numeric.gcd`

Computes the greatest common divisor of a and b by using an efficient algorithm such as Euclid's or Stein's algorithm.


						
				typeof(Unqual!T.init%Unqual!U.init) gcd(T, U)
				(
				

				  T a,
				

				  U b
				

				)
				

				if (isIntegral!T && isIntegral!U);
				

				

				auto gcd(T)
				(
				

				  T a,
				

				  T b
				

				)
				

				if (!isIntegral!T && is(typeof(T.init % T.init)) && is(typeof(T.init == 0 || T.init > 0)));

Parameters

Name	Description
a	Integer value of any numerical type that supports the modulo operator `%`. If bit-shifting `<<` and `>>` are also supported, Stein's algorithm will be used; otherwise, Euclid's algorithm is used as a fallback.
b	Integer value of any equivalent numerical type.

Returns

The greatest common divisor of the given arguments.

Example

writeln(gcd(2 * 5 * 7 * 7, 5 * 7 * 11)); // 5 * 7
const int a = 5 * 13 * 23 * 23, b = 13 * 59;
writeln(gcd(a, b)); // 13

Authors

Andrei Alexandrescu, Don Clugston, Robert Jacques, Ilya Yaroshenko

License

Boost License 1.0.