I'm pretty sure there are new pills out that you can take {with drs rx} so you only have a period every 3 or 4 months.

info-
[Seasonique and Seasonale have you take 12 weeks of hormone pills, followed by 1 week of low-estrogen or no-hormone pills. On this schedule, you have four periods a year. If your doctor prescribes an unlabeled use for other birth control pills, you can also have four periods a year. You take the active hormone pills continuously for 12 weeks, followed by 1 week of sugar pills. You then start a new pack of pills. If you have breakthrough bleeding during the 3 months, your doctor will prescribe extra estrogen.

Lybrel comes in 4-week packs of hormone pills, which you take every day of the year. On this schedule, you have no periods.]
http://www.seasonale.com/LearnAboutS...naleWorks.aspx
http://www.seasonique.com/Consumer/L...iqueWorks.aspx

I don't think starving yourself is a good idea.
Although some highly trained female athletes do have loss of periods, most likely from very low body fat. But they would have a very high metabolism so most likely they eat plenty but burn it off.