Cain, on Letterman, again denies harassment

By the Associated Press | November 19, 2011 | 2:15 AM EST

In this photo provided by CBS, Republican presidential candidate Herman Cain joins host David Letterman on the set of the “Late Show with David Letterman,” Thursday, Nov. 17, 2011 in New York. The show airs Friday, Nov. 18. (AP Photo/CBS, John Paul Filo)

NEW YORK (AP) — Republican presidential candidate Herman Cain says the women who have accused him of making unwanted sexual advances are all lying.

In an appearance Friday on David Letterman's "Late Show," the former pizza executive again denied any impropriety during his time running the National Restaurant Association in the 1990s.

Several women have come forward with allegations against Cain. He has repeatedly denied the allegations, which have dogged his campaign.

During the interview Letterman says to Cain: "These statements are all false? All of these women are lying? They're all lying?"

"Yes," replies Cain. "They are."

During the show, Cain jokes that Letterman seems to be trying to talk him out of running for president with tough questions about the challenges facing the presidency.