【扩展欧几里得算法】AcWing877.扩展欧几里得算法——扩展欧几里得算法证明

AcWing877.扩展欧几里得算法

题解与证明

#include <iostream>

using namespace std;

int exgcd(int a, int b, int &x, int &y)
{
    if(b == 0)
    {
        x = 1, y = 0;
        return a;
    }
    int d = exgcd(b, a % b, y, x);
    y -= a / b * x;
    return d;
}

int main()
{
    int t, n, m, x, y;
    cin >> t;
    while(t -- )
    {
        cin >> n >> m;
        exgcd(n, m, x, y);
        cout << x << " " << y << endl;
    }
    return 0;
}