This study will evaluate the effectiveness of alendronate in treating the bone abnormality in polyostotic fibrous dysplasia and McCune-Albright syndrome. In these diseases, areas of normal bone are replaced with a fibrous growth similar to a scar. The weakened bone causes pain and increases patients' risk of bone fractures and bone deformities. Alendronate belongs to a class of drugs called "bisphosphonates," which are approved by the Food and Drug Administration to treat bone weakening, deformity and pain in other medical conditions. It is thought that bisphosphonates might work by slowing the activity of osteoclasts-cells that break down bone.