Article ID Journal Published Year Pages File Type
427950 Information Processing Letters 2010 4 Pages PDF
Abstract

We present a randomized parallel algorithm that computes the greatest common divisor of two integers of n bits in length with probability 1−o(1) that takes O(nloglogn/logn) time using O(n6+ϵ) processors for any ϵ>0 on the EREW PRAM parallel model of computation. The algorithm either gives a correct answer or reports failure.We believe this to be the first randomized sublinear time algorithm on the EREW PRAM for this problem.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics