Cod sursa(job #3341150)

Utilizator Sabin1133Padurariu Sabin Sabin1133 Data 18 februarie 2026 10:59:42
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.68 kb
#include <iostream>

int bezout_gcd(int a, int &x, int b, int &y)
{
    int r_x, r_y, d;
    
    if (b == 0) {
        x = 1;
        y = 0;
        d = a;
    } else {
        d = bezout_gcd(b, r_x, a % b, r_y);
        x = r_y;
        y = r_x - (a / b) * r_y;
    }

    return d;
}

int main()
{
    int n;

    freopen("euclid3.in", "r", stdin);
    freopen("euclid3.out", "w", stdout);

    std::cin >> n;

    for (int a, x, b, y, d, c, i = 0; i < n; ++i) {
        std::cin >> a >> b >> c;

        d = bezout_gcd(a, x, b, y);

        if (c % d)
            std::cout << "0 0\n";
        else
            std::cout << x * (c / d) << ' ' << y * (c / d) << '\n';
    }

    return 0;
}