Instructions here http://translate.google.com/translate?sl=da&tl=en&js=y&prev=...
Edit: You need a user to be able to download from Kortforsyningen. Not sure what the user agreements says about foreigners because the sign up form is in danish and the options are like if you are a danish city, citizen, ngo etc. What I can see you only need to supply user name and email address.
What surprises me is that I can't find any pages in English. So good luck navigating if you don't understand danish.
The American expat community hasn't grown large enough to form an effective separatist group and demand that the Danish government translate everything into English? How awful. /s
On the other hand Google Translate tends to work pretty well with Danish anyway, because sentences are fairly short without complicated German-style clause structures that confuse the translator, and the grammar is not too different from English.
(Oops, I just realised you're looking for full maps with elevation at each point, and this is just a bunch of polygons. Still a very useful resource.)