Question: Consider the following Python program to compute the GCD of two integers a and b (assuming that a > b > 0). Is the algorithm

Consider the following Python program to compute the GCD of two integers a and b (assuming that a > b > 0). Is the algorithm correct? Is the algorithm efficient? Justify your response.

Consider the following Python program to compute the GCD of two integers

for i in range(b,0,-1): if a % i ==0 and b% i ==0: printi break

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Consider the following Python program to compute the GCD of two integers a and b (assuming that a > b > 0). Is the algorithm correct? Is the algorithm efficient? Justify your response. while b != 0:...

Consider the following recursive algorithm that calculates the gcd of two integers a and b: procedure gcd ( a , b: nonnegative integers with a

1. a) State clearly what you understand by an iterative algorithm and a recursive algorithm. b) Given a function as below: int fun(int n) { if (n == 1) return 2; else return (n + fun(n/2): } What...

. The tower of Hanoi problem is an interesting problem in Computer Science, the algorithm for Tower of Hanoi is given in the lecture notes, which is given here again: TowerOfHanoi ( tower1, tower2,...

4. The Euclid algorithm for determining GCD of two integers a and b (assuming a > b) was given iteratively in Homework 1. The same algorithm can be written recursively, by following these two steps:...

USING PYTHON FOR PART 2 and 3 For the second part of the project, you will implement the Consecutive Integer Checking Algorithm to compute the GCD of two integers ( ' m ' and ' n ' ) . For the third...

For the second part of the project, you will implement the Consecutive Integer Checking Algorithm to compute the GCD of two integers ( ' m ' and ' n ' ) . For the third part of the project, you will...

Write a class called RationalNumber that represents a fraction with an integer numerator and denominator. A RationalNumber object should have the following methods: public RationalNumber(int...

The greatest common divisor (GCD) of two integers a and b is defined as the largest integer that can divide both a and b without a remainder. For example, the GCD of 30 and 54 is 6, whereas the GCD...

1. If g(a, b) denotes the gcd of two integers a and b, then there exist two integers l and m satisfying g(a, b) = la + mb. Extend Euclids algorithm to compute g(a, b) as well as the integers l and m....

A projectile is fired into the air from the top of a 200-m cliff above a valley (Figure). Its initial velocity is 60 m/s at 60 above the horizontal. Where does the projectile land? Vo= 60 m/s 60 200...

Explain the purpose of the Sale of Goods Act in relation to the obligations of the parties to a sale of goods transaction.

Which of the following IS NOI one of the common characteristics of real change leaders? A sense of humor about themselves and their situationa. Carkie about how nevede are treated and enshled to...

Compared with half a century ago, adoption has become _ _ _ _ _ _ _ _ _ common, but it is more open and acceptabl e , so we probably discuss it _ _ _ _ _ _ _ . fill in the blanks more or much less or...

How are custom calculations developed that will refer back to columns in the Pivot Table on the same Excel worksheet?

What do the Length of Service and Length of Service Earnings Quotients indicate with reference to Female versus Male Wage and Job Progression in respect to Length of Service?

How do Excel Pivot Tables handle data from non OLAP databases?