Background
A simple mathematical formula for e is
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.
Example
Output
n e
- -----------
0 1
1 2
2 2.5
3 2.666666667
4 2.708333333
看到前三个输出是一个有限小数,而且位数没有后面的多,于是考虑直接先输出前面的内容,再计算后面的内容。
一定要注意这个提示: n e - ----------- 0 1 1 2 2 2.5 3 2.666666667 4 2.708333333 5 2.716666667 6 2.718055556 7 2.718253968 8 2.718278770 9 2.718281526 这是AC的数据,注意n=8的情况,最后面无意义的0还是要保留。所以n=0、1、2作为特殊值输出,剩下的用%.9lf即可,%.10lg就要WA了
#include<stdio.h> void main() { double arr[10] = {1}; int i = 1,j = 3; while(i < 10) { arr[i] = i * arr[i - 1]; i++; } printf("n e\n"); printf("- -----------\n"); printf("0 1\n"); printf("1 2\n"); printf("2 2.5\n"); double result = 2.5; while(j < 10) { result = result + 1/arr[j]; printf("%d %11.9f\n",j,result); j++; } }