Cod sursa(job #2780663)
| Utilizator | Data | 7 octombrie 2021 16:27:31 | |
|---|---|---|---|
| Problema | Algoritmul lui Euclid extins | Scor | 0 |
| Compilator | cpp-64 | Status | done |
| Runda | Arhiva educationala | Marime | 0.7 kb |
#include <bits/stdc++.h>
using namespace std;
ifstream fin("f.in");
int m,n;
void euclid(int a,int b,int d,int &x, int &y) // a*x+b*y=d
{
if(b==0)
{
x=1;
y=0;
}
else
{
int x0,y0;
euclid(b,a%b,d,x0,y0);
x=y0;
y=x0-(a/b)*y0;
}
}
int main()
{
int a,b,c,r;
fin>>m>>n;
// cmmdc(m,n,m+n)
//if(n>m)swap(m,n);
a=m;b=n;r=a%b;
while(r!=0)
{
a=b;
b=r;
r=a%b;
}
a=m+n;r=a%b;
while(r!=0)
{
a=b;
b=r;
r=a%b;
}
c=b;
cout<<c<<" ";
a=b=0;
euclid(m,-n,c,a,b); // a*m-b*n=c;
cout<<a<<" "<<b;
}
