I have added a new ticket for adding a default gcd and lcm for field elements.
http://trac.sagemath.org/sage_trac/ticket/9819 For the case of field elements gcd and lcm methods are not of great interest. However, they can be addecuated for some reasons. - Some algorithms may accept as input either polynomials or rational functions. In these algorithms we may reduce a list of polynomials and rational functions to a common denominator. If all the inputs are polynomials, the denominators are the one element of the base field. In this case, lcm would fail. See the problem raised in #9063 for a case of this problem. I propose to add a lcm and gcd funtion for field elements. By default, if both elements are zero, their gcd is 0. Otherwise 1 if one of the elements is zero, their lcm is zero. 1 Otherwise. However, I can imaging that this approach may lead to further problems. Does anyone have a case where this approcah can lead to problems? Luis -- To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org