Cod sursa(job #791610)

Utilizator toranagahVlad Badelita toranagah Data 24 septembrie 2012 17:52:47
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.7 kb
#include <fstream>

using namespace std;

ifstream fin("euclid3.in");
ofstream fout("euclid3.out");

int T;

int gcd(int a, int b, int &x, int &y);

int main(int argc, char const *argv[])
{
    fin >> T;
    int A, B, C;
    for (int i = 0; i < T; ++i) {
        fin >> A >> B >> C;
        int x, y;
        int d = gcd(A, B, x, y);
        if (C % d != 0) {
            fout << "0 0\n";
        } else {
            fout << x * (C / d) << ' ' << y * (C / d) << '\n';
        }
    }
    return 0;
}

int gcd(int a, int b, int &x, int &y) {
    if (b == 0) {
        x = 1;
        y = 0;
        return a;
    }
    int x0, y0, d;
    d = gcd(b, a % b, x0, y0);
    x = y0;
    y = x0 - (a / b) * y0;
    return d;
}