Letterman Asks Cain: Will You Drop Out if Harassment Allegations Prove True?

Republican presidential candidate Herman Cain again denied all charges of sexual harassment that have been levied against him in recent weeks, stating emphatically that the women who accused him of making unwanted advances are lying.

Appearing on David Letterman's "The Late Show" Friday, Cain said people he talks to are more interested in important issues facing the country like the economy rather than focusing on the allegations.

"We have to focus on that because you don't have a track record as president of the United States, so we have to determine what kind of guy you are before we can commit the welfare of this country to your hands," Letterman said.

Cain readily agreed, but said his record as a businessman speaks for itself.

Giving his take on the way events with the allegations would play out, Letterman added, "I'm no stranger to sexual scandal."

"Really!" Cain laughed.

In 2009 Letterman admitted on-air to having had sexual relations with staff members which led to an apparent extortion attempt.

"One of two things will happen," Letterman continued. "You will be proven, you’ll be exonerated, they will all turn -- it’ll be like Justin Bieber, all of that’s going away. Or they will prevail and there will be someone else coming forward. 'Herman did this, this is the money I received and here’s exactly the documentation you need to prove he’s lying.' Now what happens if that’s the case? Will you drop out of the campaign if that’s the case?"

Cain said there was absolutely no evidence to back up the allegations, and corrected Letterman by saying there had been no settlement, but instead a severance agreement.

"These statements are all false? All of these women are lying? They're all lying?" Letterman asked.

"Yes, they are," Cain said.

Though when Letterman later asked whether he had ever in his life said something to a woman he later regretted, Cain said yes.

"Yes, because it depends upon how certain women would interpret thing like a compliment," he said, noting that it was during a time when "awareness for sexual harassment was really really high" and said when he was the CEO of Godfather's Pizza he had experts come in and give seminars for his staff on prohibited behaviors.

Watch the full interview below, via CBS. Discussion of the sexual harassment allegations begins at the 16:30 mark.