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
给出 a1 a2
求 x1 x2 使得 a1*x1+a2*x2=1
如果不存在，输出sorry
套用扩展欧里几得算法的模版
注意输出不需要考虑最后的空格控制
注意x1要大于0
#include"iostream"
using namespace std;
void gcd(int a,int b,int &d,int &x,int &y)
{
if(!b) {d=a;x=1;y=0;}
else {gcd(b,a%b,d,y,x);y-=x*(a/b);}
}
int main()
{
int m,n;
while(cin>>m>>n)
{
int x,y,d;
gcd(m,n,d,x,y);
if(d!=1) cout<<"sorry"<<endl;
else
{
while(x<0)
{
x+=n;
y-=m;
}
cout<<x<<" "<<y<<endl;
}
}
return 0;
}