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D.12.5.5 monomialLcm

Procedure from library teachstd.lib (see teachstd_lib).

Usage:
monomialLcm(m,n); m,n of type poly or vector

Return:
least common multiple of leading monomials of m and n, of type poly

Note:
if m = (x1...xr)^(a1,...,ar)*gen(i) (gen(i)=1 if m is of type poly) and n = (x1...xr)^(b1,...,br)*gen(j), then the proc returns (x1,...,xr)^(max(a1,b1),...,max(ar,br)) if i=j and 0 if i!=j.

Example:
 
LIB "teachstd.lib";
ring r=0,(x,y,z),ds;
monomialLcm(xy2,yz3);
==> xy2z3
monomialLcm([xy2,xz],[yz3]);
==> 0
monomialLcm([xy2,xz3],[yz3]);
==> xy2z3