Setting router network key.

I have just started doing some on my company’s networking issues. The compant has 4 locations, each in a different city. The owners travel from location to location at different times and would like to have wireless access without having to enter a different network key at each location. My question is this. If I give the router the same name and same network security at each location, will their laptop automatically log on to the network even though each router has a different IP address?