Cod sursa(job #3004000)

Utilizator CobzaruAntonioCobzaru Paul-Antonio CobzaruAntonio Data 16 martie 2023 08:28:11
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.9 kb
#include <fstream>
#define int long long
using namespace std;
ifstream cin ("euclid3.in");
ofstream cout ("euclid3.out");
int cmmdc (int a,int b)
{
    if (b==0)
        return a;
    else
        return cmmdc(b,a%b);
}
void euclid (int a,int b,int &x,int &y)
{
    if (b==0)
    {
        a = 1;
        x = 1;
        y = 0;
    }
    else
    {
        int x0,y0;
        euclid(b,a%b,x0,y0);
        x = y0;
        y = x0 - (a/b)*y0;
    }
}
int32_t main()
{
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int t;
    cin >> t;
    while (t)
    {
        t--;
        int a,b,c;
        cin >> a >> b >> c;
        int d = cmmdc(a,b);
        if (c%d!=0)
        {
            cout << "0 0"<< '\n';
            continue;
        }
        int x,y;
        euclid(a,b,x,y);
        cout << x*(c/d) << ' ' << y*(c/d) << '\n';
    }
    return 0;
}