Your first concern should be water extraction. It might be necessary to contact a professional extraction service, normally located under "carpet" service in the Yellow Pages. If the floors have carpet, it may be necessary to pull up the carpet and pull the pad out to dry. If you do not dry the carpet and pad, permanent damage (including mold and mildew) may occur. If your furniture becomes wet, place aluminum foil under furniture legs to prevent "bleeding" on the carpet.
If you suffer only damp carpets, furniture, and walls, adjust your air conditioner to "cool" and your furnace to "hot." Both air conditioners and heaters dry the air, and the drier the air, the faster your personal belongings will dry. Any remaining mud and dirt on the walls should be cleaned with plain water and a brush.