The easiest way to get Shmeng stories on your site is to use Easynews.
If your site is set up to use RSS/RDF files (XML syndication format), you can put Shmeng content on your site by pointing your script at http://www.shmeng.com/backend.php - This will give you links and titles of the 10 most recent articles posted here.
If your site isn't set up to use RSS/RDF syndication, it's not too hard, if you ask me nicely, I might help you set it up.
If your site can handle ultramode files, you can point it at http://www.shmeng.com/ultramode.txt for the same effect as above. If you're into scripting and want to write a script for syndication, this is probably the easier format, but I'd still recommend the RSS/RDF.