I am not sure you need to be concerned about a line-continuation character, which I believe is a back-slash, not a forward-slash. And, from your data, the column-delimiter might be ">" - correct?
With this in mind, the SAS INPUT process can read from multiple lines based on INFILE statement parameters. However, you will need to address the back-slash character during INPUT -- it likely has no real purpose with SAS performing INPUT statement.
My recommendation is you start by coding up a DATA step to read your input file with an INPUT statement and the desired INFORMATs, depending on your data.
Scott Barry
SBBWorks, Inc.