I don't see what the difference is if it is one laptop or 4 laptops. There are lots of reasons for people having to carry multiple laptops and once they are through the x-ray there isn't any reason to swipe them down or otherwise. Look in any travelling consultants carry on bag and you'll find a ton of electronics.
Your real problem will be keeping a close eye on so many devices and not having one stolen at the check point. I'd recommend sticking something on that is easily identifiable to you from a distance.