Cod sursa(job #3166422)

Utilizator stefanpiturStefan Alexandru Pitur stefanpitur Data 8 noiembrie 2023 18:56:18
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.66 kb
#include <iostream>
#include <fstream>

using namespace std;

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

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

int main()
{
    int t, a, b, c, x, y, d;
    fin >> t;

    while(t--) {
        fin >> a >> b >> c;
        d = extended_euclid(a, b, x, y);
        if (c % d != 0) {
            fout << "0 0\n";
        } else {
            fout << (c / d) * x << " " << (c / d) * y << "\n";
        }
    }
    return 0;
}