Euclidean algorithm, Data Structure & Algorithms

Assignment Help:

The Euclidean algorithm is an algorithm to decide the greatest common divisor of two positive integers. The greatest common divisor of N and M, in short GCD(M,N), is the largest integer X such as as M and N are evenly dividable with X. Some examples:

GCD(18,12) = 6

GCD(42,56) = 14

GCD(9,28) = 1

Write a program EuclideanAlgorithm.java that takes two integers as input and calculates (and presents) their GCD using this algorithm.


Related Discussions:- Euclidean algorithm

Determine the term - loops, Loops There are 3 common ways of performin...

Loops There are 3 common ways of performing a looping function: for ... to ... next, while ... endwhile and repeat ... until The below example input 100 numbers and find

Define wire-frame model, Define Wire-frame Model This skeletal view is ...

Define Wire-frame Model This skeletal view is called a Wire-frame Model. Although not a realistic representation  of the object, it is still very useful in the early stages of

Properties of a red-black tree, Any binary search tree must contain followi...

Any binary search tree must contain following properties to be called as a red-black tree. 1. Each node of a tree should be either red or black. 2. The root node is always bl

ALGORITHMS, WRITE AN ALGORITHM TO READ TWO NUMBERS AND PRINT THE LOWER VALU...

WRITE AN ALGORITHM TO READ TWO NUMBERS AND PRINT THE LOWER VALUE

Example of telephone directory, A telephone directory having n = 10 records...

A telephone directory having n = 10 records and Name field as key. Let us assume that the names are stored in array 'm' i.e. m(0) to m(9) and the search has to be made for name "X"

Infix expression into the postfix expression, Q. Write down an algorithm to...

Q. Write down an algorithm to convert an infix expression into the postfix expression.     Ans. Algo rithm to convert infix expression to post fix expression is given as

Determine the greatest common divisor, Determine the greatest common diviso...

Determine the greatest common divisor (GCD) of two integers, m & n. The algorithm for GCD might be defined as follows: While m is greater than zero: If n is greater than m, s

Explain the assertions in ruby, Explain the Assertions in Ruby Ruby off...

Explain the Assertions in Ruby Ruby offers no support for assertions whatever. Moreover, because it's weakly typed, Ruby doesn't even enforce rudimentary type checking on opera

Find the optimal solution - branch and bound algorithm, Consider the follow...

Consider the following 5-city traveling salesman problem. The distance between each city (in miles) is shown in the following table: (a) Formulate an IP whose solution will

Single pointer pointing to the tail of the queue, Can a Queue be shown by c...

Can a Queue be shown by circular linked list with only single pointer pointing to the tail of the queue? Yes a Queue can be shown by a circular linked list with only single p

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd