Skoči na glavni sadržaj

Osječki matematički list, Vol. 13 No. 2, 2013.

Stručni rad

Applications of the Euclidean algorithm

Mateja Đumić orcid id orcid.org/0000-0001-8980-6315 ; Odjel za matematiku, Sveučilište J.J.Strossmayera u Osijeku, Osijek, Hrvatska
Mirela Jukić Bokun orcid id orcid.org/0000-0003-3461-8506 ; Odjel za matematiku, Sveučilište J.J.Strossmayera u Osijeku, Osijek, Hrvatska

Puni tekst: hrvatski pdf 279 Kb

str. 121-137

preuzimanja: 7.267

citiraj

Sažetak

In this article, we show how the Euclidean algorithm can be used for solving linear Diophantine equations and we apply the obtained results to various types of tasks. We also show that the Euclidean algorithm and expansion of a rational number to a continued fraction are closely related and we discuss some properties of those expansions.

Ključne riječi

divisibility; Euclidean algorithm; Diophantine equation; continued fraction

Hrčak ID:

114024

URI

https://hrcak.srce.hr/114024

Datum izdavanja:

18.12.2013.

Podaci na drugim jezicima: hrvatski

Posjeta: 8.498 *