Did Prophet Muhammad (PBUH) ever contract temporary marriage (Mut'ah)?

I heard from an Ahmadi (sect) person that once the prophet went to a village. His followers told him there is a really pretty woman who lives here. The prophet contracted Mut'ah marriage with her for the night and left the next day. He said it was common in those days in Islam. My question is: Did Prophet Muhammad (Peace be upon him) ever contract Muta'h (temporary) marriage? Is the above story true?