I know you're waiting for a reply from Rick, but let me interrupt to say that not all HPV transmission is through sexual intercourse. It's possible to pick up HPV even at birth (from the birth canal), for children to pick up HPV from contact with other kids' diapers, etc. There's just no telling where a viral infection starts.
And a study at the University of Arizona (PMID:146243376 if you want to see the abstract on PubMed) found that women who got the highest levels of lutein, beta-cryptoxanthin, and zeaxanthin (that is, who ate at least some tomatoes, watermelon, corn, or especially papaya on a regular basis) were the most likely to "shake" an active HPV infection through the action of their immune systems. They don't cure HPV and they certainly don't cure cervical carcinoma, but they seem to prime the immune system to work better.