Rucaparib in Treating Patients With Genomic LOH High and/or Deleterious BRCA1/2 Mutation Stage IV or Recurrent Non-small Cell Lung Cancer (A Lung-MAP Treatment Trial)

Inclusion Criteria: * Patients must meet all SCREENING/PRE-SCREENING and SUB-STUDY REGISTRATION COMMON ELIGIBILITY CRITERIA as specified in S1400: Phase II/III Biomarker-Driven Master Protocol for Previously Treated Squamous Cell Lung Cancer (Lung-Map) * Patients must be assigned to S1900A. S1900A biomarker eligibility defined as LOH high and/or deleterious BRCA1/2 mutation is as follows using the Foundation Medicine Inc (FMI) tissue- assay: * LOH; alteration type: loss of heterozygosity (LOH); eligible alteration: Genomic LOH \>= 21% * BRCA; alteration type: homologous recombination deficiency (HRD); eligible alteration: Deleterious mutations in BRCA1 or BRCA2 * Patients must not have had prior treatment with any PARP inhibitor, including rucaparib, talazoparib, veliparib, olaparib, or niraparib. For information and a list of PARP inhibitors, please consult the S1900A ? Poly Polymerase Inhibitors, Scott et al., 2015 JCO ref from the link on the S1900A protocol abstract page of the SWOG (http://swog.org) or CTSU (https://www.ctsu.org) websites. * Patients must be able to take oral medications. * Patients must not have a \>= Grade 3 hypercholesterolaemia (defined by National Cancer Institute \[NCI\] Common Terminology Criteria for Adverse Events \[CTCAE\] version \[v\]5) within 28 days prior to sub-study registration. * Patients must not have EGFR sensitizing mutations, EGFR T790M mutation, ALK gene fusion, ROS 1 gene rearrangement, and BRAF V600E mutation unless they ha…