The number one song on the Billboard Top Singles chart on May 18 1987 was by U2.
With Or Without You is a song by the Irish rock band U2. It is the third track from their 1987 album, The Joshua Tree, and was released as the album’s first single on 21 March 1987. The song was the group’s most successful single at the time, becoming their first number-one hit in both the United States and Canada by topping the Billboard Hot 100 for three weeks. In 2010, Rolling Stone magazine placed the song at number 132 on their list of “The 500 Greatest Songs of All Time.”
I have seen U2 several times. The first time was in downtown Seattle in 1981 at the now long gone Trojan Horse . . . when they were practically unknown. Only thing I remember is that after playing all the songs from their first album, the band was out of material and had to repeat some songs as their encore.