least common multiple of Gaussian integers - Maple Help

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GaussInt[GIlcm] - least common multiple of Gaussian integers

Calling Sequence

GIlcm(x[1], x[2], ..., x[n])

Parameters

x[1], x[2], ..., x[n]

-

Gaussian integers

Description

• 

The GIlcm function computes and returns the first quadrant associate of a least common multiple of the Gaussian integers x1=a1+Ib1, ..., xn=an+Ibn where the ai's and the bi's are integers.  The first quadrant associate of a Gaussian integer is defined as I5jx where x is a Gaussian integer and j (1..4) is the quadrant containing x (see GInormal).

Examples

withGaussInt:

GIlcm24,12

24

(1)

GIlcm345+515I,1574+368I

3250+7400I

(2)

See Also

GaussInt[GIgcd], GaussInt[GIgcdex], GaussInt[GInormal], numtheory[GIgcd]


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