Cod sursa(job #1496082)

Utilizator zertixMaradin Octavian zertix Data 4 octombrie 2015 12:02:49
Problema Algoritmul lui Euclid extins Scor 70
Compilator cpp Status done
Runda Arhiva educationala Marime 0.98 kb
#include <iostream>
#include <cstdio>
using namespace std;

int t,a,b,c;

int cmmdc(int a,int b)
{
    while (b)
    {
        int r=a%b;
        a=b;
        b=r;
    }
    return a;
}
int cmmdc1(int &a,int &b)
{
    int r=a%b;
    a=b;
    b=r;
    return a;
}
void smek(int &x,int &y,int a,int b)
{
    x=1;
    y=0;
    cmmdc1(a,b);
    if (!b)
        return;
    smek(x,y,a,b);
    int aux=x;
    x=y;
    y=aux-a/b*y;
}

void rezolv()
{
    scanf("%d",&t);
    for (int i=1;i<=t;++i)
    {
        scanf("%d%d%d",&a,&b,&c);
        int x,y,d,k;
        d=cmmdc(a,b);
        k=c/d;

        if (c%d)
            printf("0 0\n");
        else
        {
            smek(x,y,a,b);
            int aux=x;
            x=y;
            y=aux-a/b*y;
            printf("%d %d\n",(x*k),(y*k));
        }
    }

}

int main()
{

    freopen("euclid3.in","r",stdin);
    freopen("euclid3.out","w",stdout);
    rezolv();
    return 0;
}