The vaccines will be injected in the skin every 3 weeks for a total of 48 weeks. Those patients in Group I will receive 32 injections of peptide, whereas those patients in Group II will receive 64 injections of peptide over a 48 week period. If you are assigned to receive leuprolide, then leuprolide will be injected in the muscle at the beginning of the study and at 12 weeks, for a total of 2 additional injections. Both the vaccine and leuprolide injections will be given each time at the melanoma outpatient clinic at M. D. Anderson.