实验10-3 递归求阶乘和(15 分)
本题要求实现一个计算非负整数阶乘的简单函数,并利用该函数求 $1!+2!+3!+\cdots+n! $的值。
函数接口定义:
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| double fact( int n ); double factsum( int n );
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函数fact
应返回n
的阶乘,建议用递归实现。函数factsum
应返回 1!+2!+…+n
! 的值。题目保证输入输出在双精度范围内。
裁判测试程序样例:
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| #include <stdio.h>
double fact( int n ); double factsum( int n );
int main() { int n;
scanf("%d",&n); printf("fact(%d) = %.0f\n", n, fact(n)); printf("sum = %.0f\n", factsum(n)); return 0; }
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输入样例1:
输出样例1:
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| fact(10) = 3628800 sum = 4037913
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输入样例2:
输出样例2:
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| #include <stdio.h>
double fact( int n ); double factsum( int n );
int main() { int n;
scanf("%d",&n); printf("fact(%d) = %.0f\n", n, fact(n)); printf("sum = %.0f\n", factsum(n)); return 0; } double fact(int n) { double result;
if (n == 0 || n == 1) result = 1; else result = n*fact(n-1);
return result; }
double factsum(int n) { int i; double sum; sum=0; for (i=1; i<=n; i++) sum = sum+fact(i); return sum; }
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