找到两个互质数整数，这样第一个除以A，第二个除以B

给定两个整数A和B ，任务是找到两个互质数C1和C2 ，使得C1除以A ， C2除以B。
例子：

Input: A = 12, B = 16 
Output: 3 4 
12 % 3 = 0 
16 % 4 = 0 
gcd(3, 4) = 1
Input: A = 542, B = 762 
Output: 271 381 
 

简单方法：一种简单的解决方案是将存储所有A和B的约数的随后迭代所有A和B成对的约数，以找到一对是互质元件。
高效的方法：如果将d除以gcd(a，b)，则gcd(a / d，b / d)= gcd(a，b)/ d 。更正式地讲，如果num = gcd(a，b)，则gcd(a / num，b / num)= 1，即(a / num)和(b / num)是相对互质的。
因此，为了找到所需的数字，请找到gcd(a，b)并将其存储在变量gcd中。现在所需的数字将是(a / gcd)和(b / gcd) 。
下面是上述方法的实现：

C++

// C++ implementation of the approach
#include 
using namespace std;
 
// Function to find the required numbers
void findNumbers(int a, int b)
{
 
    // GCD of the given numbers
    int gcd = __gcd(a, b);
 
    // Printing the requried numbers
    cout << (a / gcd) << " " << (b / gcd);
}
 
// Driver code
int main()
{
    int a = 12, b = 16;
 
    findNumbers(a, b);
 
    return 0;
}

Java

// Java implementation of the approach
import java.math.*;
 
class GFG
{
    public static int findGCD(int a, int b)
    {
        if(b == 0)
            return a;
        else
            return findGCD(b, a % b);
    }
 
    // Function to find the required numbers
    static void findNumbers(int a, int b)
    {
     
        // GCD of the given numbers
        int gcd = findGCD(a, b);
         
        // Printing the requried numbers
        System.out.println((a / gcd) + " " +
                           (b / gcd));
         
    }
 
    // Driver code
    public static void main(String[] args)
    {
        int a = 12, b = 16;
     
        findNumbers(a, b);
    }
}
 
// This code is contributed by Naman_Garg

Python3

# Python3 implementation of the approach
 
# import gcd function from math module
from math import gcd
 
# Function to find the required numbers
def findNumbers(a, b) :
 
    # GCD of the given numbers
    __gcd = gcd(a, b);
 
    # Printing the requried numbers
    print((a // __gcd), (b // __gcd));
 
# Driver code
if __name__ == "__main__" :
 
    a = 12; b = 16;
 
    findNumbers(a, b);
 
# This code is contributed by AnkitRai01

C#

// C# implementation of the approach
using System;
 
class GFG
{
    public static int findGCD(int a, int b)
    {
        if(b == 0)
            return a;
        else
            return findGCD(b, a % b);
    }
 
    // Function to find the required numbers
    static void findNumbers(int a, int b)
    {
     
        // GCD of the given numbers
        int gcd = findGCD(a, b);
         
        // Printing the requried numbers
        Console.Write((a / gcd) + " " +
                      (b / gcd));
         
    }
 
    // Driver code
    static public void Main ()
    {
        int a = 12, b = 16;
     
        findNumbers(a, b);
    }
}
 
// This code is contributed by ajit

Javascript

 
// Javascript implementation of the approach
 
function findGCD(a, b)
{
    if (b == 0)
        return a;
    else
        return findGCD(b, a % b);
}
 
// Function to find the required numbers
function findNumbers(a, b)
{
     
    // GCD of the given numbers
    var gcd = findGCD(a, b);
     
    // Printing the requried numbers
    document.write((a / gcd) + " " +
                   (b / gcd));
}
 
// Driver Code
var a = 12, b = 16;
     
findNumbers(a, b);
 
// This code is contributed by Khushboogoyal499
     

输出：

3 4

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