Cod sursa(job #2714842)

Utilizator Mihai145Oprea Mihai Adrian Mihai145 Data 2 martie 2021 16:25:20
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.68 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(b == 0) {
        x = 1;
        y = 0;
        return a;
    }

    int x0, y0;
    int 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;
        cin >> a >> b >> c;

        int x, y;
        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;
}