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
Author
yifenfei
Source
HDU女生专场公开赛——谁说女子不如男
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裸的扩展欧几里得
1 #include<iostream>
2 #include<cstdio>
3 #include<cstring>
4 #include<cmath>
5 #include<algorithm>
6 #define lli long long int
7 using namespace std;
8 void read(lli &n)
9 {
10 char c='+';lli x=0;bool flag=0;
11 while(c<'0'||c>'9')
12 {c=getchar();if(c=='-')flag=1;}
13 while(c>='0'&&c<='9')
14 {x=x*10+(c-48);c=getchar();}
15 flag==1?n=-x:n=x;
16 }
17 lli x,y;
18 lli exgcd(lli a,lli b,lli & x,lli & y)
19 {
20 if(b==0)
21 {
22 x=1;y=0;
23 return a;
24 }
25 lli r=exgcd(b,a%b,y,x);
26 y-=a/b*x;
27 return r;
28 }
29 int main()
30 {
31 lli a,b;
32 while(scanf("%lld%lld",&a,&b)==2)
33 {
34 lli d=exgcd(a,b,x,y);
35 if(1%d!=0)
36 printf("sorry\n");
37 else if(d==-1)
38 printf("sorry\n");
39 else
40 {
41 x*=1/d;
42 b=fabs(b);
43 b=b/d;
44 lli ans=x%b;
45 if(ans<=0)
46 ans+=b;
47 printf("%lld %lld\n",ans,(1-a*ans)/b);
48 }
49 }
50
51 return 0;
52 }腾讯云开发者
