📜  打印GCD和LCM之和等于N的任意一对整数

📅  最后修改于: 2021-04-22 09:25:17             🧑  作者: Mango

给定一个整数N ,任务是打印GCD和LCM之和等于N的任意一对整数。
例子:

方法:
为了解决上述问题,让我们考虑该对为(1,n-1)。 (1,n-1)的GCD = 1,(1,n-1)的LCM = n – 1 。因此,GCD和LCM的总和= 1 +(n – 1)= n。因此,对(1,n – 1)将是GCD和LCM之和等于N的对。
下面是上述方法的实现:

C++
// C++ implementation to Print any pair of integers
// whose summation of GCD and LCM is equal to integer N
 
#include 
using namespace std;
 
// Function to print the required pair
void printPair(int n)
{
    // print the pair
    cout << 1 << " " << n - 1;
}
 
// Driver code
int main()
{
    int n = 14;
 
    printPair(n);
 
    return 0;
}


Java
// Java implementation to print any pair of integers
// whose summation of GCD and LCM is equal to integer N
class GFG{
 
// Function to print the required pair
static void printPair(int n)
{
    // Print the pair
    System.out.print(1 + " " + (n - 1));
}
 
// Driver code
public static void main(String[] args)
{
    int n = 14;
    printPair(n);
}
}
 
// This code is contributed by gauravrajput1


Python3
# Python3 implementation to print any
# pair of integers whose summation of
# GCD and LCM is equal to integer N
 
# Function to print the required pair
def printPair(n):
 
    # Print the pair
    print("1", end = " ")
    print(n - 1)
 
# Driver code
n = 14
printPair(n)
 
# This code is contributed by PratikBasu


C#
// C# implementation to print any pair
// of integers whose summation of
// GCD and LCM is equal to integer N
using System;
 
public class GFG{
 
// Function to print the required pair
static void printPair(int n)
{
     
    // Print the pair
    Console.Write(1 + " " + (n - 1));
}
 
// Driver code
public static void Main(String[] args)
{
    int n = 14;
    printPair(n);
}
}
 
// This code is contributed by Princi Singh


Javascript


输出:
1 13

时间复杂度: O(1)

辅助空间: O(1)