C语言题有一个数学等式：AB*CD=BA*DC，式中的一个字母代表一位数字的答案

Answer 1

我的答案：
A = 1 B = 2 C = 6 D = 3
A = 1 B = 2 C = 8 D = 4
A = 1 B = 3 C = 6 D = 2
A = 1 B = 4 C = 8 D = 2
A = 2 B = 1 C = 3 D = 6
A = 2 B = 1 C = 4 D = 8
A = 2 B = 3 C = 6 D = 4
A = 2 B = 3 C = 9 D = 6
A = 2 B = 4 C = 6 D = 3
A = 2 B = 6 C = 3 D = 1
A = 2 B = 6 C = 9 D = 3
A = 2 B = 8 C = 4 D = 1
A = 3 B = 1 C = 2 D = 6
A = 3 B = 2 C = 4 D = 6
A = 3 B = 2 C = 6 D = 9
A = 3 B = 4 C = 8 D = 6
A = 3 B = 6 C = 2 D = 1
A = 3 B = 6 C = 4 D = 2
A = 3 B = 6 C = 8 D = 4
A = 3 B = 9 C = 6 D = 2
A = 4 B = 1 C = 2 D = 8
A = 4 B = 2 C = 3 D = 6
A = 4 B = 3 C = 6 D = 8
A = 4 B = 6 C = 3 D = 2
A = 4 B = 8 C = 2 D = 1
A = 4 B = 8 C = 6 D = 3
A = 6 B = 2 C = 1 D = 3
A = 6 B = 2 C = 3 D = 9
A = 6 B = 3 C = 1 D = 2
A = 6 B = 3 C = 2 D = 4
A = 6 B = 3 C = 4 D = 8
A = 6 B = 4 C = 2 D = 3
A = 6 B = 8 C = 4 D = 3
A = 6 B = 9 C = 3 D = 2
A = 8 B = 2 C = 1 D = 4
A = 8 B = 4 C = 1 D = 2
A = 8 B = 4 C = 3 D = 6
A = 8 B = 6 C = 3 D = 4
A = 9 B = 3 C = 2 D = 6
A = 9 B = 6 C = 2 D = 3
你是要程序吗？我以为只是要答案呢。c++程序如下：
#include <iostream>
#include <fstream>
using namespace std;

int main()
{
int i, j, m, n;
fstream outFile("a.txt", ios::out);

for (i = 0; i<=9; i++)
for (j = 0; j<=9; j++)
for (m = 0; m<=9;m++)
for (n = 0; n<=9; n++)
{
if (i!=j && i!=m && i!=n && j!=m && j!=n && m!=n)
{
if ((i*10+j) * (m*10+n) == (j*10+i) * (n*10+m))
{
cout << "A = " << i << " "
<< "B = " << j << " "
<< "C = " << m << " "
<< "D = " << n << endl;
outFile << "A = " << i << " " //写入文件
<< "B = " << j << " "
<< "C = " << m << " "
<< "D = " << n << endl;
}
}
}

return 0;
}

Answer 2

#include <stdio.h>
void main()
{
int a,b,c,d;
for(a=0; a<=9; a++)
for(b=0; b<=9; b++)
for(c=0; c<=9; c++)
for(d=0; d<=9; d++)
{
if((a*10+b)*(c*10+d)==(10*b+a)*(10*d+c))
if((a!=b)&&(a!=c)&&(a!=d)&&(b!=c)&&(b!=d)&&(c!=d))
printf("\n%d%d*%d%d=%d%d*%d%d",a,b,c,d,b,a,d,c);
}
}