We introduce a new left-shift binary algorithm, LSBGCD, for computing the greatest common divisor of two integers, and we provide an analysis of the worst-case behavior of this algorithm. The analysis depends on a theorem of Ramharter about the extremal behavior of certain continuants.
CITATION STYLE
Shallit, J., & Sorenson, J. (1994). Analysis of a left-shift binary GCD algorithm. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 877 LNCS, pp. 169–183). Springer Verlag. https://doi.org/10.1007/3-540-58691-1_55
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