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@article{Bernstein2005FactoringIC, title={Factoring into coprimes in essentially linear time}, author={Daniel J. Bernstein}, journal={J. Algorithms}, year={2005}, volume={54}, pages={1-30} }

- Published 2005 in J. Algorithms
DOI:10.1016/j.jalgor.2004.04.009

Let Sbe a finite set of positive integers. A “coprime base for S” means a set P of positive integers such that (1) each element of P is coprime to every other element of P and (2) each element of S is a product of powers of elements of P. There is a natural coprime base for S. This paper introduces an algorithm that computes the natural coprime base for S in essentially linear time. The best previous result was a quadratic-time algorithm of Bach, Driscoll, and Shallit. This pap er lso shows how… CONTINUE READING

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