扩展GCD exgcd
时间:2014-06-22 08:38:36
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已知 a,b (a>=0,b>=0)
求一组解 (x,y) 使得 (x,y)满足
gcd(a,b) = ax+by
注意求出的 x,y 可能为0或负数
代码中g = gcd(a,b);
ll extend_gcd (ll a , ll b , ll &x , ll &y) {
if (b == 0) {
x = 1LL;
y = 0;
return a;
}
ll g = extend_gcd (b , a % b , x , y);
ll t = x;
x = y; y = t - a / b * x;
return g;
}
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