Cod sursa(job #3238763)

Utilizator obsidianMidnight Majesty obsidian Data 30 iulie 2024 12:56:13
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.75 kb
#include <fstream>
using namespace std;

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

int gcd(int a, int b)
{
    return b == 0 ? a : gcd(b, a % b);
}

void euclid_ext(int a, int b, int &x, int &y)
{
    if (b == 0)
    {
        x = 1, y = 0;
        return;
    }
    int px, py;
    euclid_ext(b, a % b, px, py);
    x = py;
    y = px - (a / b) * py;
}

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