The Blues scored eight goals during their seven-game skid.
"I think it's nice to help our goaltenders out and score some goals," O'Reilly said. "We think putting the puck in the net is a good feeling, something we want to continue, that's for sure."
Kaapo Kahkonen allowed nine goals on 38 shots for Minnesota (24-13-2). It was the most lopsided loss in Wild history, and the nine goals were the most allowed in one game by Minnesota and the most allowed by a Wild goalie in one game.
"Not a fun experience," Kahkonen said. "That was embarrassing by myself. I felt I left my team down. Tough night, obviously."
It was the first of three straight games between the teams. They will play here Saturday and at Minnesota on Monday.
Zach Sanford gave the Blues a 1-0 lead at 1:32 of the first period.
Schwartz made it 2-0 at 6:59 before Zach Parise's first goal in 15 games cut the lead to 2-1 at 7:33.
Schwartz made it 3-1 at 15:23, and Blais scored for the second straight game to make it 4-1 at 16:53.
"Throughout a season, you're going to have some times where you're not scoring as much as you'd like, you're not going to get rewarded for some of the work you're doing," Schwartz said. "And we were kind of going through a bit of a funk there, and it was frustrating for everyone. Everyone was probably gripping it, but we did a good job of staying with it.
"Tonight, we got rewarded. It's a funny game sometimes with the way bounces go. It was nice to see everyone chipping in today."
O'Reilly made it 5-1 at 1:09 of the second period.