Data Structures and Algorithms in Python | 2. Improving naive gcd by Abraham | Learn Smarter
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2. Improving naive gcd

The chapter centers on refining the computation of the greatest common divisor (gcd) using Python. It outlines how the naive approach can be improved through various optimizations, reducing unnecessary computations and directly targeting common factors. Key strategies include iterating through potential divisors efficiently and leveraging programming constructs such as loops.

Sections

  • 2.1

    Programming, Data Structures And Algorithms In Python

    This section explores refining the algorithm to calculate the greatest common divisor (gcd) in Python by improving on a naive approach.

  • 2.1.1

    Improving Naive Gcd

    The section discusses ways to optimize the naive algorithm for calculating the greatest common divisor (gcd) of two numbers using Python.

  • 2.1.2

    Basic Gcd Algorithm

    This section discusses improvements to the naive gcd algorithm, focusing on efficient calculations and refining factor checks.

  • 2.1.3

    Improvements In Gcd Calculation

    This section explores various methods to improve the calculation of the greatest common divisor (gcd) using Python, progressing from naive approaches to optimized algorithms.

  • 2.1.4

    Python Implementation Of New Strategy

    This section focuses on enhancing the naive GCD algorithm through efficient Python implementations.

  • 2.1.5

    Simplification Of The Strategy

    This section explores the iterative simplification of the algorithm for calculating the greatest common divisor (gcd) using a more efficient approach.

  • 2.1.6

    Further Optimizations

    This section presents various strategies to optimize the computation of the greatest common divisor (gcd) in Python.

  • 2.1.7

    Implementation Using While Loop

    This section covers the implementation of the greatest common divisor (GCD) algorithm using a while loop in Python, discussing improvements from a naive approach to a more efficient one.

  • 2.1.8

    Ensuring Termination Of The While Loop

    This section discusses the implementation of the while loop in Python to determine the greatest common divisor (GCD) and emphasizes the importance of ensuring loop termination.

  • 2.1.9

    Summary Of The Lecture

    This section refines the naive algorithm for calculating the greatest common divisor (gcd) using Python, highlighting efficiency improvements.

References

CHapter 2.pdf

Class Notes

Memorization

What we have learnt

  • The naive method for comput...
  • It is beneficial to scan on...
  • Using while loops can provi...

Final Test

Revision Tests