ISSN:
1432-0541
Keywords:
Greatest common divisor
;
Parallel algorithms
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract We present a simple parallel algorithm for computing the greatest common divisor (gcd) of twon-bit integers in the Common version of the CRCW model of computation. The run-time of the algorithm in terms of bit operations isO(n/logn), usingn 1+ɛ processors, where ɛ is any positive constant. This improves on the algorithm of Kannan, Miller, and Rudolph, the only sublinear algorithm known previously, both in run time and in number of processors; they requireO(n log logn/logn),n 2 log2 n, respectively, in the same CRCW model. We give an alternative implementation of our algorithm in the CREW model. Its run-time isO(n log logn/logn), usingn 1+ɛ processors. Both implementations can be modified to yield the extended gcd, within the same complexity bounds.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01840374
