I have never heard them to be non standard. And I have replaced power supplies on HP Pavillions and they were standard.
The only thing is that they are usually "micro atx" power supplies...which is a fancy way to say they are smaller than regular atx supplies. (dells are regular size but they have switched some of the wires around)
So if you have an HP it is probably a "micro atx" supply....look on the back of the supply and see if there are 3 screws holding it in...as opposed to 4.
Usually they are underpowered also..like 145watts or so....luckily now there are replacements available which are stronger.
such as
http://www.newegg.com/app/ViewProduc...alog=58&depa=0
(if you click on "more images" you see what I mean about it having 3 mounting screws...in a triangle instead of a rectangle like regular atx)
JP