# Print any pair of integers with sum of GCD and LCM equals to N

Given an integer N, the task is to print any pair of integers that have the sum of GCD and LCM equal to N.

Examples:

Input: N = 14
Output: 1, 13
Explanation:
For the given pair we have GCD(1, 13) = 1 and LCM (1, 13) = 13. Sum of GCD and LCM = 1 + 13 = 14.

Input: 2
Output: 1 1
Explanation:
For the given pair we have GCD(1, 1) = 1 and LCM (1, 1) = 1. Sum of GCD and LCM = 1 + 1 = 2.

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach:

To solve the problem mentioned above let us consider the pair to be (1, n-1). GCD of (1, n-1) = 1 and LCM of (1, n-1) = n – 1. So the sum of GCD and LCM = 1 + (n – 1) = n. Hence the pair (1, n – 1) will be the pair which has the sum of GCD and LCM equal to N.

Below is the implementation of the above approach:

## 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 `

Output:

```1 13
```

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