【HDU 2669】Romantic

Problem Description

The Sky is Sprite.
The Birds is Fly in the Sky.
The Wind is Wonderful.
Blew Throw the Trees
Trees are Shaking, Leaves are Falling.
Lovers Walk passing, and so are You. 
................................Write in English class by yifenfei

Girls are clever and bright. In HDU every girl like math. Every girl like to solve math problem!
Now tell you two nonnegative integer a and b. Find the nonnegative integer X and integer Y to satisfy X*a + Y*b = 1. If no such answer print "sorry" instead.

Input

The input contains multiple test cases.
Each case two nonnegative integer a,b (0<a, b<=2^31)

Output

output nonnegative integer X and integer Y, if there are more answers than the X smaller one will be choosed. If no answer put "sorry" instead. 

Sample Input

77 51 10 44 34 79

 

Sample Output

2 -3 sorry 7 -3

 

题解：

简单扩展欧几里德 判断gcd是否等于1即可

#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
typedef long long ll;
ll exgcd(ll a,ll b,ll &x,ll &y)
{
    if(!b)
    {
        x=1;y=0;
        return a;
    }
    ll r=exgcd(b,a%b,x,y);
    ll t=x;
    x=y;
    y=t-a/b*y;
    return r;
}
void work(ll a,ll b)
{
    ll x,y;
    ll r=exgcd(a,b,x,y);
    if(r>1)
    {
        printf("sorry
");
        return ;
    }
    ll t=b/r;
    x=(x%t+t)%t;
    y=(r-a*x)/b;
    printf("%lld %lld
",x,y);
}
int main()
{
    int a,b;
    while(~scanf("%d%d",&a,&b))
    {
        work(a,b);
    }
    return 0;
}