Cod sursa(job #2174356)

Utilizator dragomirmanuelDragomir Manuel dragomirmanuel Data 16 martie 2018 11:44:17
Problema Algoritmul lui Euclid extins Scor 50
Compilator cpp Status done
Runda Arhiva educationala Marime 0.88 kb
#include <iostream>
#include <cstdio>

using namespace std;

int cmmdc(int a, int b)
{
    int r;
    while(b)
    {
        r = a%b;
        a = b;
        b = r;
    }

    return a;
}

pair < int, int > Eextins(int x, int y)
{
    if(y==0)
    {
        return {1,0};
    }

    auto p = Eextins(y,x%y);
    int d = x/y;
    return {p.second, p.first - d * p.second};
}

int main()
{
    freopen("euclid3.in", "r", stdin);
    freopen("euclid3.out", "w", stdout);

    int N;
    scanf("%d", &N);

    for(int i=1; i<=N; ++i)
    {
        int a, b, c;
        scanf("%d%d%d",&a,&b,&c);
        int d = cmmdc(a,b);

        if(c % d)
        {
            cout << "0 0\n";
        }

        else
        {
            auto x = Eextins(a,b);
            cout << x.first * c/d << " " << x.second * c/d << "\n";
        }
    }
    return 0;
}