Data Structures and Algorithms in Python | 1. Algorithms and programming: simple gcd part-A by Abraham | Learn Smarter
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1. Algorithms and programming: simple gcd part-A

The chapter introduces algorithms and programming with a focus on defining algorithms systematically to perform computational tasks. It emphasizes the concept of the greatest common divisor (gcd) through a practical algorithmic approach, demonstrating how to write a Python program to compute the gcd. Furthermore, it highlights the importance of understanding factors and common divisors in a structured manner.

Sections

  • 1

    Algorithms And Programming: Simple Gcd

    This section introduces algorithms, focusing on the concept of the greatest common divisor (gcd) and its computation.

  • 1.1

    Definition Of Algorithm

    This section defines algorithms as systematic procedures to perform tasks, likening them to recipes that outline step-by-step actions.

  • 1.2

    Altering Instructions Based On Context

    This section discusses how instructions can be modified according to the capabilities of those executing an algorithm, emphasizing flexibility in programming.

  • 1.3

    Types Of Algorithms

    This section introduces algorithms as systematic procedures for solving tasks, focusing on their role in programming and various types, particularly in computer contexts.

  • 1.4

    Common Everyday Computation

    This section introduces algorithms and their significance in programming, focusing on computation concepts like the greatest common divisor (gcd) and the use of algorithms to manipulate numerical data.

  • 1.5

    Manipulating Information

    This section introduces the concept of algorithms in programming, emphasizing their role in systematically processing information.

  • 2

    Greatest Common Divisor (Gcd)

    This section discusses the concept of the Greatest Common Divisor (gcd) of two positive integers and introduces a basic algorithm for computing it.

  • 2.1

    Definition And Example Of Gcd

    This section discusses the concept of the greatest common divisor (gcd), illustrating its definition and providing algorithms to calculate it.

  • 2.2

    Computing The Gcd Of Two Numbers

    This section explains the concept of the greatest common divisor (gcd) and outlines an algorithm for computing the gcd of two numbers.

  • 2.3

    Algorithm To Compute Gcd

    This section introduces the concept of an algorithm for computing the greatest common divisor (gcd) of two numbers, detailing a step-by-step approach to derive it.

  • 2.4

    Constructing The Lists Of Factors

    This section covers how to construct lists of factors for two positive integers and find their greatest common divisor (gcd).

  • 2.5

    Finding Common Factors

    This section discusses the concept of algorithms for finding common factors, specifically the greatest common divisor (gcd) of two numbers.

  • 2.6

    Returning The Result

    This section discusses the concept of algorithms, particularly focusing on the greatest common divisor (GCD) and how to compute it algorithmically.

  • 2.7

    Python Implementation Of Gcd

    This section covers the concept of the greatest common divisor (gcd) and its computation using Python, including an algorithmic approach and practical implementation.

  • 2.8

    Tracking Intermediate Values

    This section discusses the importance of tracking intermediate values in programming, particularly in the context of calculating the greatest common divisor (gcd) using algorithms.

Class Notes

Memorization

What we have learnt

  • An algorithm can be viewed ...
  • The greatest common divisor...
  • Programming is the method o...

Final Test

Revision Tests