Find smallest number K such that K % p = 0 and q % K = 0

Given two integers p and q, the task is to find the smallest number K such that K % p = 0 and q % K = 0. If no such K is possible then print -1.

Examples:

Input: p = 2, q = 8
Output: 2
2 % 2 = 0 and 8 % 2 = 0

Input: p = 5, q = 14
Output: -1

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

Approach: In order for K to be possible, q must be divisible by p.

• If q % p = 0 then print p
• Else print -1.

Below is the implementation of the above approach:

C++

 `// C++ implementation of the approach ` `#include ` `using` `namespace` `std; ` ` `  `// Function to return the minimum ` `// value K such that K % p = 0 ` `// and q % k = 0 ` `int` `getMinVal(``int` `p, ``int` `q) ` `{ ` ` `  `    ``// If K is possible ` `    ``if` `(q % p == 0) ` `        ``return` `p; ` ` `  `    ``// No such K is possible ` `    ``return` `-1; ` `} ` ` `  `// Driver code ` `int` `main() ` `{ ` `    ``int` `p = 24, q = 48; ` `    ``cout << getMinVal(p, q); ` ` `  `    ``return` `0; ` `} `

Java

 `// Java implementation of the approach ` `import` `java.io.*; ` ` `  `class` `GFG ` `{ ` `     `  `// Function to return the minimum ` `// value K such that K % p = 0 ` `// and q % k = 0 ` `static` `int` `getMinVal(``int` `p, ``int` `q) ` `{ ` ` `  `    ``// If K is possible ` `    ``if` `(q % p == ``0``) ` `        ``return` `p; ` ` `  `    ``// No such K is possible ` `    ``return` `-``1``; ` `} ` ` `  `// Driver code ` `public` `static` `void` `main (String[] args)  ` `{ ` `    ``int` `p = ``24``, q = ``48``; ` `    ``System.out.println(getMinVal(p, q)); ` `} ` `} ` ` `  `// This code is contributed by jit_t. `

Python3

 `# Python3 implementation of the approach ` ` `  `# Function to return the minimum  ` `# value K such that K % p = 0  ` `# and q % k = 0 ` `def` `getMinVal(p, q): ` ` `  `    ``# If K is possible ` `    ``if` `q ``%` `p ``=``=` `0``: ` `        ``return` `p ` ` `  `    ``# No such K is possible ` `    ``return` `-``1` ` `  `# Driver code ` `p ``=` `24``; q ``=` `48` `print``(getMinVal(p, q)) ` ` `  `# This code is contributed ` `# by Shrikant13 `

C#

 `// C# implementation of the approach ` `using` `System; ` ` `  `class` `GFG ` `{ ` `     `  `// Function to return the minimum ` `// value K such that K % p = 0 ` `// and q % k = 0 ` `static` `int` `getMinVal(``int` `p, ``int` `q) ` `{ ` ` `  `    ``// If K is possible ` `    ``if` `(q % p == 0) ` `        ``return` `p; ` ` `  `    ``// No such K is possible ` `    ``return` `-1; ` `} ` ` `  `// Driver code ` `public` `static` `void` `Main ()  ` `{ ` `    ``int` `p = 24, q = 48; ` `    ``Console.WriteLine(getMinVal(p, q)); ` `} ` `} ` ` `  `// This code is contributed  ` `// by Code_Mech. `

PHP

 ` `

Output:

```24
```

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Improved By : jit_t, Code_Mech, shrikanth13