A water problem
Time Limit: 5000/2500 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 4839 Accepted Submission(s): 1594
Problem Description
Two planets named Haha and Xixi in the universe and they were created with the universe beginning.
There is 73 days in Xixi a year and 137 days in Haha a year.
Now you know the days N after Big Bang, you need to answer whether it is the first day in a year about the two planets.
Input
There are several test cases(about 5 huge test cases).
For each test, we have a line with an only integer N(0≤N), the length of N is up to 10000000.
Output
For the i-th test case, output Case #i: , then output "YES" or "NO" for the answer.
Sample Input
10001
0
333
Sample Output
Case #1: YES
Case #2: YES
Case #3: NO
Author
UESTC
Source
问题描述:给出一个数N(位数不超过10000000),如果N是73和173的倍数的话输出YES,否则输出NO
题解:由于位数太多,使用Java的大数类会超内存,此题没有必要使用高精度,由于73和137的最小公倍数是10001,因此按位边乘边取模就行。
AC的C++程序:
#include<iostream>
#include<string>
using namespace std;
int main()
{
string s;
int cnt=1;
while(cin>>s)
{
int sum=0;
for(int i=0;i<s.length();i++)
sum=(sum*10+s[i]-'0')%10001;//10001是73和137的最小公倍数
cout<<"Case #"<<cnt++<<": ";
if(sum==0)
cout<<"YES"<<endl;
else
cout<<"NO"<<endl;
}
return 0;
}