If you have a save the game reads as corrupted then chances are it's a problem with the save file itself rather than the game so it's unlikely it can be recovered.
"gstaff wrote on November 9th, 2010
@Hamburglar Time — if you’re getting the message that your save is corrupt due to missing DLC, those saves should work once the update is out. Some corrupted saves (for other reasons), may not work."
- http://bethblog.com/index.php/2010/11/05/more-news-on-new-vegas-updates/