The Fibonacci sequence F is a series whose elements are numbers starting with 
and 
, and subsequent Fibonacci numbers are defined recursively: 
. The first 20 Fibonacci numbers are:
and , and subsequent Fibonacci numbers are defined recursively: . The first 20 Fibonacci numbers are:
Given two indices n and m, write a program to return the least common Fibonacci number, 
, which is defined as the smallest Fibonacci number divisible by both 
and 
. For example,
, which is 
, since 
and 
both divide 
.
, which is defined as the smallest Fibonacci number divisible by both and . For example,, which is , since and both divide .Since. the value of 
may become large even if the values of n and m are relatively small, please output a vector containing the number of digits and the last 6 digits of . Therefore, in the example above the output of 
, which has 4 digits, should be 
.
may become large even if the values of n and m are relatively small, please output a vector containing the number of digits and the last 6 digits of . Therefore, in the example above the output of , which has 4 digits, should be .Solution Stats
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That's not really a standard way to number F(n), (usually F(0):==0 and F(1):==1) but OK...
It's numbered like that because the lowest Fibonacci number divisible by F(a) and F(b) in the normal numbering system is F(lcm(a,b)). In the example here, you need to add one to everything to get that to work: lcm((3+1),(4+1)) = (19+1)