During a speech to law enforcement on July 28, President Trump said "please don't be too nice" to suspects who are arrested. (Video: The Washington Post)

Police leaders across the country moved quickly to distance themselves from — or to outright condemn — President Trump’s statements about “roughing up” people who’ve been arrested.

The swift public denunciations came as departments are under intense pressure to stamp out brutality and excessive force that can erode the relationship between officers and the people they police — and cost police chiefs their jobs.