CINCINNATI — Billy Hamilton didn’t even know how long it had been since he circled the bases.

The Reds’ speedy leadoff hitter ended one of the major leagues’ longest home run droughts with a three-run shot, and Devin Mesoraco hit his first in more than two years, powering Cincinnati to a 7-2 victory over the Pittsburgh Pirates on Wednesday night.

The Reds have won five of six from their Ohio River rivals.

Eugenio Suarez started the Reds’ surge with a three-run homer in the first inning off Jameson Taillon (2-1), who hadn’t allowed a homer on the road this season. Hamilton hit his first homer since June 28 — a streak of 319 at-bats that was the third-longest active drought in the majors — just inside the right-field pole for a 6-0 lead in the fourth inning.

“I had no idea,” Hamilton said of his long streak. “I know now. It could’ve gone 300 more as long as I was getting base hits and getting on base.”

He’s found plenty of ways to hurt the Pirates, including his game-ending double in the 10th inning for a 4-3 victory on Monday.

“It was an ambush fastball we tried to get in tight that didn’t get in tight,” manager Clint Hurdle said. “He continues to be more than a rock in our shoe.”

Tallion gave up eight hits and six runs in five innings. He had allowed only one earned run in his three previous road starts.

“I was putting guys on after putting myself in a good position,” Tallion said. “If there’s no runners on, then home runs don’t beat you, but two three-run homers do.”

Mesoraco missed most of the last two seasons because of surgery on his hip and shoulder. He connected for a solo shot in the sixth off Trevor Williams, the catcher’s first homer since Sept. 23, 2014 — a span of 117 at-bats.

Rookie Davis (1-1) repeatedly escaped threats to get his first victory in the majors. The Pirates left the bases loaded in the second and the fourth. Davis lasted five innings, allowing four hits and three walks. He threw 91 pitches.