HI, Check this page...it has a wizard to help you generate the code for a like button:
http://developers.facebook.com/docs/reference/plugins/like
But basically all you need is this bit of code:
<iframe src="http://www.facebook.com/plugins/like.php?href=http%3A%2F%2Fgoogle.com&amp;layout=standard&amp;show_faces=true&amp;width=450&amp;action=like&amp;colorscheme=light&amp;height=80" scrolling="no" frameborder="0" style="border:none; overflow:hidden; width:450px; height:80px;" allowTransparency="true"></iframe>
and where it says http%3A%2F%2Fgoogle.com just replace that with your url...being careful to make sure the special characters (i.e. the question marks, colons, forward slashes) in your url are encoded using hex characters (you can find all the corresponding hex tags here: http://www.obkb.com/dcljr/charstxt.html)....this way if your article pages are dynamic (i.e. generated by a server side script) then you can just spit the url out in to this iframe code above.
Hope this helps.