Practice Simplification of the strategy - 2.1.5 | 2. Improving naive gcd | Data Structures and Algorithms in Python
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the purpose of calculating the gcd of two numbers?

πŸ’‘ Hint: Think about parts and division.

Question 2

Easy

Explain what a naive approach generally involves for calculating gcd.

πŸ’‘ Hint: Consider a method that brute forces through possibilities.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the main purpose of calculating the gcd?

  • To find common factors
  • To find the largest divisor
  • To determine primes

πŸ’‘ Hint: Consider what it means to divide without remainder.

Question 2

Using the optimized gcd method, do we need to store all common factors?

  • True
  • False

πŸ’‘ Hint: What is necessary when we only care about the largest?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given m = 48 and n = 180, implement a Python function to find gcd using the discussed optimized method.

πŸ’‘ Hint: Start from the smaller number and loop downwards.

Question 2

Explain how the changes to the gcd algorithm improve performance in terms of computational efficiency.

πŸ’‘ Hint: Think about the number of iterations and what needs to be remembered.

Challenge and get performance evaluation