hdu 1018 计算一个数阶乘的位数
2014-08-12 17:00
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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.
[align=left]Input[/align]
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 ≤ 107 on each line.
[align=left]Output[/align]
The output contains the number of digits in the factorial of the integers appearing in the input.
[align=left]Sample Input[/align]
2
10
20
[align=left]Sample Output[/align]
7
19
题意:求一个数的阶乘的位数
因为根据数学知识可以知道:
log10(1*2*3*4.........*n)=log10(1)+log10(2)+log10(3)+log10(4)...........+log10(n);
又因为阶乘很可能超出整形,不容易计算,所以就应用log进行计数
#include<stdio.h>
#include<math.h>
int main()
{
int t,m;
scanf("%d",&t);
while(t--)
{
double sum=0;
scanf("%d",&m);
for(int i=1;i<=m;i++)
sum+=log10(i);
printf("%d\n",((int)sum)+1);
}
return 0;
}
digits in the factorial of the number.
[align=left]Input[/align]
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 ≤ 107 on each line.
[align=left]Output[/align]
The output contains the number of digits in the factorial of the integers appearing in the input.
[align=left]Sample Input[/align]
2
10
20
[align=left]Sample Output[/align]
7
19
题意:求一个数的阶乘的位数
因为根据数学知识可以知道:
log10(1*2*3*4.........*n)=log10(1)+log10(2)+log10(3)+log10(4)...........+log10(n);
又因为阶乘很可能超出整形,不容易计算,所以就应用log进行计数
#include<stdio.h>
#include<math.h>
int main()
{
int t,m;
scanf("%d",&t);
while(t--)
{
double sum=0;
scanf("%d",&m);
for(int i=1;i<=m;i++)
sum+=log10(i);
printf("%d\n",((int)sum)+1);
}
return 0;
}
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