hdu 1012:u Calculate e(数学题,水题)

时间:2014-04-27 21:43:06   收藏:0   阅读:437

u Calculate e

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 28686    Accepted Submission(s): 12762


Problem Description
A simple mathematical formula for e is

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where n is allowed to go to infinity. This can actually yield very accurate approximations of e using relatively small values of n.
 

 

Output
Output the approximations of e generated by the above formula for the values of n from 0 to 9. The beginning of your output should appear similar to that shown below.
 

 

Sample Output
n e
- -----------
0 1
1 2
2 2.5
3 2.666666667
4 2.708333333
 

 

Source
 

 

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  水题
  切一道水题,放松下心情。
  这道题没有输入,只有输出。
  前3组数据由于输出格式不统一,直接输出即可。后面的数可用迭代思路求得,不用从头重新计算了。
  代码:
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 1 #include <stdio.h>
 2 int main()
 3 {
 4     int i;
 5     printf("n e\n");    
 6     printf("- -----------\n");
 7     printf("0 1\n");    //没有统一格式,提前输出。
 8     printf("1 2\n");
 9     printf("2 2.5\n");
10     double ans = 1;
11     double t = 1;
12     for(i=1;i<=9;i++){
13         t = 1.0/i*t;    //迭代计算
14         ans += t;
15         if(i<3) continue;
16         printf("%d %.9lf\n",i,ans);
17     }
18     return 0;
19 }
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