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How to Create a Basic Euclidean Algorithms in Python

Submitted by razormist on Friday, December 13, 2024 - 23:50.

In this tutorial, we’ll learn how to program "How to Create a Basic Euclidean Algorithm in Python." The objective is to implement the Euclidean algorithm to find the greatest common divisor (GCD) of two given numbers. This tutorial will demonstrate the process of applying the Euclidean algorithm step-by-step. A sample program will be provided to guide you through the implementation. So, let’s get started!

This topic is simple to understand. Just follow the instructions I provide, and you’ll be able to complete it with ease. The program I’ll demonstrate will show you the proper way to implement the Euclidean algorithm to find the greatest common divisor (GCD). I’ll also include a straightforward and efficient method to achieve this effectively. So, let’s start coding!

Getting Started:

First you will have to download & install the Python IDLE's, here's the link for the Integrated Development And Learning Environment for Python https://www.python.org/downloads/.

Creating Main Function

This is the main function of the application. The following code will display a simple GUI in terminal console that will display program. To do this, simply copy and paste these blocks of code into the IDLE text editor.
  1. def gcd(a, b):
  2.         if a == 0 :
  3.                 return b
  4.        
  5.         return gcd(b%a, a)
  6.  
  7.  
  8.  
  9. while True:
  10.         print("\n================= Basic Euclidean Algorithms =================\n\n")
  11.         a = int(input("Enter a number(A): "))
  12.         b = int(input("Enter a number(B): "))
  13.         print("gcd(", a , "," , b, ") = ", gcd(a, b))
  14.  
  15.         opt = input("\nDo you want to try again?(yes/no): ")
  16.  
  17.         if opt.lower() == 'yes':
  18.                 ret=False
  19.         elif opt.lower() == 'no':
  20.                 ret=True
  21.                 print("Exiting program....")
  22.         else:
  23.                 print("Please enter yes/no:")
  24.                 break
  25.  
  26.         if ret == False:
  27.                 continue

This program calculates the greatest common divisor (GCD) of two numbers using the Euclidean Algorithm, where the GCD is determined recursively by replacing the larger number with its remainder when divided by the smaller number, and it allows users to repeat the process or exit based on their input.

Output:

There you have it we successfully created How to Create a Basic Euclidean Algorithms in Python. I hope that this simple tutorial help you to what you are looking for. For more updates and tutorials just kindly visit this site. Enjoy Coding!

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