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A Randomized Sublinear Time Parallel GCD Algorithm for the EREW PRAM (0907.0718v2)
Published 3 Jul 2009 in cs.DS
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(n loglog n / log n) expected time using n{6+\epsilon} processors on the EREW PRAM parallel model of computation. We believe this to be the first randomized sublinear time algorithm on the EREW PRAM for this problem.