Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 31.2, Problem 7E
Program Plan Intro

To define gcd function for over 2 arguments by recursive expression gcd(a0,a1,....,an)=gcd(a0,gcd(a1,a2,....,an)) and demonstrate that gcd function returns similar solution independent of sequence in which arguments are stated. To also demonstrate how to discover integers x0,x1,.....,xn so that gcd(a0,a1,....,an)=a0x0+a1x1+......+anxn. To show that count of divisions done by the algorithm is O(n+lg{max{a0,a1,....,an})).

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