运行结果:
4b1aecf2a4cc496d80956176319025bb

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#include <iostream>
using namespace std;
int CommFactor2(int m, int n); //函数的声明
int main()
{
int a, b,c=1;
char d;


while(c!=0){
int CommFactor1(int m,int n);
int CommFactor2(int m,int n);
int CommFactor3(int m,int n);
cout<<"A、穷举法\nB、辗转相除法\nC、辗转相减法\n";
cout<<"请选择算法,输入算法前的大写字母:";
cin>>d;
cout<<"请输入两个正整数:";
cin >> a >> b;
switch(d)
{
case 'A' :
cout << "这两个数的最大公约数为:" << CommFactor1(a,b)<< endl<< endl;
break;
case 'B' :
cout << "这两个数的最大公约数为:" << CommFactor2(a,b)<< endl<< endl;
break;
case 'C' :
cout << "这两个数的最大公约数为:" << CommFactor3(a,b)<< endl<< endl;
break;
}
}

}

//穷举法
int CommFactor1(int m,int n)
{
int i;
int factor = 1;
for (i=2;i<=m&&i<<n;i++)
{
while(m % i == 0 && n % i == 0) //这里不能用if语句,因为可能会有重复的公因子
{
factor = factor * i;
m = m / i;
n = n / i;
}
}
return factor;
}

//辗转相除法
int CommFactor2(int m,int n)
{
int z = n;
while (m % n != 0)
{
z = m % n;
m = n;
n = z;
}
return z;
}

//辗转相减法
int CommFactor3(int m,int n)
{
while (m != n)
{
if (m > n)
{
m = m - n;
}
else
{
n = n - m;
}
}
return m;
}
​```https://cn.overleaf.com/project/6212f6338a4f0830afc5f9fa)