Yo Jonny,
One of the first things I'd do is get a de-humidifier. Not a tiny one from sears, but a REALLY big one. You can rent them from places that rent tools & equipment to contractors. In Canada, a big name in this field is Simplex. These de-humidifiers kinda look like R2-D2. They'll have a hose coming out of it that will drain into a bucket. You'll be amazed at how much water they pull out of the air. They're so powerful, that I can imagine that they'll remove dampness out of the room within 48 hours, depending on the damage. There are other fancy machines called dessicants that can help dry out a room, but they're kinda big and I don't know if they rent them. If you have any drywall that got wet, I'd remove the base boards & drill some holes in the walls. This will help the mositure escape and keep mold from setting in. There are emergency clean up companies that could put lp jackets in these crazy machines that will remove moisture from the jackets. I've had this done with books that got wet after fires & they came back like new. I don't know how expensive this is, though, because insurance took care of the cost. I'd type more, but I'm a little busy at work. But get a de-humidifier & maybe a blower, if you have carpeting. That would be a good start.
Good Luck!
howard