Cod sursa(job #1883599)

Utilizator BeatriceBBeatrice Roxana BeatriceB Data 18 februarie 2017 09:28:52
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.8 kb
#include <iostream>
#include <fstream>
using namespace std;
#define ll long long
ifstream f("euclid3.in");
ofstream g("euclid3.out");
ll x,y,a,b,c,d,t;
ll cmmdc(ll a,ll b)
{
    if(!a)return b;
    if(!b)return a;
    ll r=(a%b),x=a,y=b;
    while(r)
       x=y, y=r, r=x%y;
    return y;
}
void euclid(ll a, ll b, ll &x, ll &y)
{
    if(!b)
      y=0, x=1;
    else
    {
        ll x0,y0;
        euclid(b,a%b,x0,y0);
        x=y0;
        y=x0-(a/b)*y0;
    }
}

int main()
{
    f>>t;
    while(t--)
    {
        f>>a>>b>>c;
        d=cmmdc(a,b);
        if(c%d!=0)
            g<<"0 0\n";
        else
        {
            euclid(a,b,x,y);
            x=x*(c/d);y=y*(c/d);
            g<<x<<" "<<y<<'\n';
        }
    }
    f.close(); g.close();
    return 0;
}