C#: Find the LCM and GCD of two numbers

Last update on December 20 2024 12:43:09 (UTC/GMT +8 hours)

Write a program in C# Sharp to find the LCM and GCD of two numbers using recursion.

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Sample Solution:

C# Sharp Code:

using System;
using System.Text;

// Class RecExercise12 for finding GCD and LCM of two numbers
class RecExercise12
{
    // Main method to execute the program
    public static void Main()
    {
        // Variables to store input numbers, GCD, and LCM
        long num1, num2, hcf, lcm;

        // Prompt for and accept user input of two numbers
        Console.WriteLine("\n\n Recursion : Find the LCM and GCD of two numbers :");
        Console.WriteLine("------------------------------------------------------");

        Console.Write(" Input the first number : ");
        num1 = Convert.ToInt64(Console.ReadLine());
        Console.Write(" Input the second number : ");
        num2 = Convert.ToInt64(Console.ReadLine());

        // Calculate GCD and LCM using respective methods
        hcf = gcd(num1, num2);
        lcm = (num1 * num2) / hcf;

        // Display the calculated GCD and LCM
        Console.WriteLine("\n The GCD of {0} and {1} = {2} ", num1, num2, hcf);
        Console.WriteLine(" The LCM of {0} and {1} = {2}\n", num1, num2, lcm);
    }

    // Method to calculate the Greatest Common Divisor (GCD) using recursion
    static long gcd(long n1, long n2)
    {
        if (n2 == 0)
        {
            return n1;
        }
        else
        {
            return gcd(n2, n1 % n2); // Recursive call to find GCD
        }
    }
}

Sample Output:

 Recursion : Find the LCM and GCD of two numbers :                                                            
------------------------------------------------------                                                        
 Input the first number : 2                                                                                   
 Input the second number : 5                                                                                  
                                                                                                              
 The GCD of 2 and 5 = 1                                                                                       
 The LCM of 2 and 5 = 10

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