Cyber Athletics League

Blizzard -
We have a club at our school, the Cyber Athletics League, devoted to gaming. We desire to play WarCraft III over our school's Local Area Network, and run WarCraft III off of the school computers. Unfortunatly, we are unable to fully install it, but if we run it off the cd it is okay with the technology staff. In order to play, does each player need to own his/her own copy of the game, or can others join into one map that one player started, and, if not, is it legal if we each bring in our own cd? Thanks for you help.
-Nic, CAL pres.

Update