OSHKOSH, Wis. — Sen. Ted Cruz on Friday vehemently denied a story in the National Enquirer that accused him of extramarital affairs and blamed rival Donald Trump for planting “complete and utter lies” in the tabloid.

Cruz accused Trump and his associates of hawking a false story that the married Texas senator had sexual relationships with five unidentified women. The allegations come amid a nasty feud between the two candidates over their wives that has dominated the Republican presidential race this week.

“Let me be clear, this National Enquirer story is garbage,” Cruz told reporters after a rally here, bringing up the subject himself. “It is complete and utter lies. It is a tabloid smear, and it is a smear that has come from Donald Trump and his henchmen.”

Trump, in a statement, said he had “no idea” whether the story was true and said he had nothing to do with it.

“Ted Cruz’s problem with the National Enquirer is his and his alone, and while they were right about O.J. Simpson, John Edwards, and many others, I certainly hope they are not right about Lyin’ Ted Cruz,” Trump wrote.

Cruz, in turn, labeled the front-runner for the Republican nomination “Sleazy Donald.”

The National Enquirer did not name the women allegedly involved but published photos of five women with their faces blurred out. The Washington Post has not confirmed any of the allegations made by the Enquirer.