请编写一个程序,根据如下公式求Π的值: Π/2=1+1/3+1X2/3X5+1X2X3/3X5X7+1X2X3X4/3X5X7X9+…+1X2X…Xn/3X5X..X(2n+1). 程序运行后,输入精度,输出Π的近似值。 输入:0.0000000001 输出:3.1415926535727650
时间: 2023-10-31 16:05:22 浏览: 97
以下是使用多精度数学库(GMP)的C代码实现:
```c
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <gmp.h>
void calculate_pi(double precision) {
int n = 0;
double term = 1, pi = 0;
mpf_t numerator, denominator, temp;
mpf_init(numerator);
mpf_init(denominator);
mpf_init(temp);
mpf_set_ui(numerator, 1);
mpf_set_ui(denominator, 1);
do {
n++;
mpf_mul_ui(numerator, numerator, n);
if (n % 2 == 0) {
continue;
}
mpf_mul_ui(denominator, denominator, 2 * n + 1);
mpf_div(temp, numerator, denominator);
term = mpf_get_d(temp);
pi += term;
} while (term > precision);
printf("π ≈ %.16f\n", 2 * pi);
mpf_clear(numerator);
mpf_clear(denominator);
mpf_clear(temp);
}
int main() {
double precision;
printf("请输入精度:");
scanf("%lf", &precision);
calculate_pi(precision);
return 0;
}
```
运行程序后,输入精度,即可输出π的近似值。
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