Cod sursa(job #2872476)

Utilizator SlavicGGuzun Veaceslav SlavicG Data 17 martie 2022 09:19:58
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.03 kb
#include "bits/stdc++.h"
using namespace std;
 
#define ll long long
 
#define       forn(i,n)              for(int i=0;i<n;i++)
#define          all(v)              v.begin(), v.end()
#define         rall(v)              v.rbegin(),v.rend()
 
#define            pb                push_back
#define          sz(a)               (int)a.size()

#define int long long

int euclid(int a, int b, int *x, int *y) {
    if(b == 0) {
        *x = 1;
        *y = 0;
        return a;
    }

    int x1, y1;
    int gg = euclid(b, a % b, &x1, &y1);

    *x = y1;
    *y = x1 - (a / b) * y1;
    return gg;
}

void solve() {
    int a, b, c;
    cin >> a >> b >> c;
    int x, y, g;
    g = euclid(a, b, &x, &y);

    if(c % g != 0) {
        cout << "0 0\n";
    } else {
        cout << x * c / g << " " << y * c / g << "\n";
    }
}
 
int32_t main() {
    freopen("euclid3.in", "r", stdin);
    freopen("euclid3.out", "w", stdout);
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    int t = 1;
    cin >> t;
    while(t--) {
        solve();
    }
}