Turn up the heat, which rises in your home. Turn up your thermostat and open up the crawlspace doors to encourage more upward air flow.
Set up a large dehumidifier in the attic. Place the unit in an area that is safe and dry. Dump the water collection tank frequently.
Run fans. Place fans in dry areas and point them at areas that are wet. Run them on high. Check the fans frequently to make sure they do not tip over.
Prevent a recurrence. Talk to a roofing specialist to have proper vents and a vapor barrier installed in your attic.