从键盘输入共享长方体一个顶点的三个面的面积，求它十二条边的边长和，使用c语言程序

#include <stdio.h>
#include <math.h>

int main() {
float a, b, c, d, e, f; // 三个面的面积
float l1, l2, l3, l4, l5, l6, l7, l8, l9, l10, l11, l12; // 十二条边的长度
float sum; // 十二条边的长度和

printf("请输入共享长方体一个顶点的三个面的面积：\n");
scanf("%f %f %f", &a, &b, &c);

d = sqrt(a * b) / b;
e = sqrt(a * c) / c;
f = sqrt(b * c) / b;

l1 = sqrt(a / d);
l2 = sqrt(a * d);
l3 = sqrt(a / e);
l4 = sqrt(a * e);
l5 = sqrt(b / d);
l6 = sqrt(b * d);
l7 = sqrt(b / f);
l8 = sqrt(b * f);
l9 = sqrt(c / e);
l10 = sqrt(c * e);
l11 = sqrt(c / f);
l12 = sqrt(c * f);

sum = l1 + l2 + l3 + l4 + l5 + l6 + l7 + l8 + l9 + l10 + l11 + l12;

printf("十二条边的长度和为%.2f\n", sum);

return 0;
}