Cod sursa(job #3228097)

Utilizator AndreiDocaDoca Andrei AndreiDoca Data 5 mai 2024 16:15:05
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.78 kb
#include <iostream>
#include <fstream>

#define ll long long

using namespace std;

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

ll gcd(ll a, ll b, ll &x, ll &y)
{
    if(b == 0)
    {
        x = 1;
        y = 0;
        return a;
    }
    ll x1, y1;
    ll d = gcd(b, a % b, x1, y1);
    x = y1;
    y = x1 - y1 * (a / b);
    return d;
}

void solve()
{
    ll a, b, c, x, y, d;
    fin >> a >> b >> c;

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

    if(c % d)
    {
        x = y = 0;
    }
    else
    {
        x *= (c / d);
        y *= (c / d);
    }
    
    fout << x << " " << y << "\n";
}

int main(void)
{
    int t;
    fin >> t;
    while(t--)
    {
        solve();
    }

    fin.close();
    fout.close();
    return 0;
}