Practice Prof. Madhavan Mukund (3.1.1.) - Euclid's algorithm for gcd - Data Structures and Algorithms in Python
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Prof. Madhavan Mukund

Practice - Prof. Madhavan Mukund

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the GCD of 15 and 10?

💡 Hint: Find the common factors of both numbers.

Question 2 Easy

Explain what Euclid's Algorithm is.

💡 Hint: Think about how it simplifies finding the gcd.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time complexity of Euclid's Algorithm?

O(log(min(m,n)))
O(m+n)
O(min(m,n))

💡 Hint: Think about how many times you can divide.

Question 2

True or False: The GCD of any two numbers is always greater than or equal to 1.

True
False

💡 Hint: Recall that 1 is a common divisor.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that the implementation of the remainder method leads to fewer calculations than the difference method for large input sizes. Consider m=123456789 and n=987654321.

💡 Hint: Start with initial divisions and track how many steps are taken in each method.

Challenge 2 Hard

Write a Python function that takes two integers and prints the steps involved in finding their GCD using Euclid's Algorithm.

💡 Hint: Track and output each iterative modification of m and n.

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Reference links

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