杭电1018-Big Number(大数)
发布时间:2020-12-14 02:23:40 所属栏目:大数据 来源:网络整理
导读:Big Number Time Limit: 2000/1000 MS (Java/Others)????Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 31165????Accepted Submission(s): 14464 Problem Description In many applications very large integers numbers are required. S
Big Number
Time Limit: 2000/1000 MS (Java/Others)????Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 31165????Accepted Submission(s): 14464
Problem Description
In many applications very large integers numbers are required. Some of these applications are using keys for secure transmission of data,encryption,etc. In this problem you are given a number,you have to determine the number of digits in the factorial of the number.
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Input
Input consists of several lines of integer numbers. The first line contains an integer n,which is the number of cases to be tested,followed by n lines,one integer 1 ≤ n ≤ 10
7?on each line.
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Output
The output contains the number of digits in the factorial of the integers appearing in the input.
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Sample Input
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Sample Output
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? ? ? ? ?还记得那个神奇的
斯塔林公式吗?
? ? ? ? ?直接就是公式了!
#include<cstdio>
#include<cstring>
#include<cmath>
#define pi acos(-1.0)
using namespace std;
int n;
int solve()
{
return (int)((n*log(n)-n+(log(2*pi*n))/2)/log(10))+1;
}
int main()
{
int N;
scanf("%d",&N);
while(N--)
{
scanf("%d",&n);
int t=solve();
printf("%dn",t);
}
return 0;
}
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