Function gcd
Synopsis
#include "breeze/mathematics/gcd.hpp"
template <typename T>
constexpr T gcd(T a, T b)
Description
Returns the greatest common divisor of two integers.
If T
is not an integral type the program is ill-formed. If the greatest common divisor of |a|
and |b|
is not representable as a value of type T
, the behavior is undefined.
- Returns
- If both
a
andb
are zero, returns zero. Otherwise it returns the greatest common divisor of|a|
and|b|
. - Note
- The intent, for both this template and
breeze::lcm()
, was to follow the standard specification (the initial Breeze versions followed the C++ Library Fundamental TS v2, and I meant to update them to C++17 when C++17 would be out). But I soon realized that allowing two different types for the two arguments, and usingcommon_type
for the result, made everything very hard to reason about (can you tell what thecommon_type
of two arbitrary integral types is?). So I decided to stick to what I consider a saner specification. - See
- lcm().
Mentioned in
- Getting Started / Supported compilers
Source
Line 49 in breeze/mathematics/gcd.hpp.