Can warcraft be installed on two different computers and still be able to go online?

I got warcraft 3 and I was wondering if I could install it on both my pc and my laptop and still be able to go online. Not at the same time mind you, but if I’m already doing somthing on one computer I can fire up warcraft on the other. I know you can in guildwars, all you have to do is log in. Doesnt really matter from what computer.