Cod sursa(job #2638213)

Utilizator Mihai145Oprea Mihai Adrian Mihai145 Data 27 iulie 2020 15:22:57
Problema Algoritmul lui Euclid extins Scor 70
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.61 kb
#include <fstream>

using namespace std;

ifstream cin("euclid3.in");
ofstream cout("euclid3.out");

int gcd(int a, int b, int &x, int &y)
{
    if(a % b == 0) {
        x = 0, y = 1;
        return b;
    }

    int d, x0, y0;

    d = gcd(b, a % b, x0, y0);

    x = y0;
    y = x0 - (a / b) * y0;

    return d;
}

int main()
{
    int T; cin >> T;

    while(T--)
    {
        int a, b, c, x, y;
        cin >> a >> b >> c;
        int d = gcd(a, b, x, y);

        if(c % d != 0)
            cout << 0 << ' ' << 0 << '\n';
        else
            cout << x * (c / d) << ' ' << y * (c / d) << '\n';
    }

    return 0;
}