8. LOGO
Function GSD (a, b, : integer) : integer; {ΠΏΠΎΠΈΡΠΊ Π½Π°ΠΈΠ±ΠΎΠ»ΡΡΠ΅Π³ΠΎ ΠΎΠ±ΡΠ΅Π³ΠΎ Π΄Π΅Π»ΠΈΡΠ΅Π»Ρ ΡΠΈΡΠ΅Π» a ΠΈ b}
Begin {a>0 and b>0}
While a <> b do
If a>b
then a := a β b
else b := b β a;
{ a = b }
GSD := a
End;
Function GSD_ (a, b, : integer) : integer; {ΠΏΠΎΠΈΡΠΊ Π½Π°ΠΈΠ±ΠΎΠ»ΡΡΠ΅Π³ΠΎ ΠΎΠ±ΡΠ΅Π³ΠΎ Π΄Π΅Π»ΠΈΡΠ΅Π»Ρ ΡΠΈΡΠ΅Π» a ΠΈ b Ρ
ΠΏΠΎΠΌΠΎΡΡΡ Π°Π»Π³ΠΎΡΠΈΡΠΌΠ° ΠΠ²ΠΊΠ»ΠΈΠ΄Π°}
Var
r : integer;
Begin { a>0 and b>0 }
Repeat
r := a mod b;
a := b;
b := r
Until b = 0;
GSD_ := a
End;
Π‘ΠΏΠΎΡΠΎΠ±Ρ ΠΏΠΎΠ²ΡΡΠ΅Π½ΠΈΡ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌ
10. LOGO
Π£ΠΏΡΠΎΡΠ΅Π½ΠΈΠ΅ ΡΡΠ»ΠΎΠ²Π½ΠΎΠ³ΠΎ Π²ΡΡΠ°ΠΆΠ΅Π½ΠΈΡ, ΡΠΏΡΠ°Π²Π»ΡΡΡΠ΅Π³ΠΎ
ΡΠΈΠΊΠ»Π°ΠΌΠΈ.
ΠΠ°ΡΠΈΠ°Π½Ρ 1
x := 0; successful := true;
While (x<>max) and successful do
Begin
x := x + 1;
Calc (x, k, xp, successful);
If successful
then writeln (x:20, xp:15)
End;
ΠΠ°ΡΠΈΠ°Π½Ρ 2
x := 0;
While x<>max do
Begin
x := x + 1;
Calc (x, k, xp, successful);
If successful
then writeln (x:20, xp:15)
else x := max
End;
11. LOGO
ΠΠ°ΡΠΈΠ°Π½Ρ 1
If odd (n)
then low := 3
else low := 2;
high := n div low;
If odd (n)
then step := 2
else step := 1;
ΠΠ°ΡΠΈΠ°Π½Ρ 2
If odd (n)
then begin
low := 3; step := 2
end
else begin
low := 2; step := 1
end;
ΠΠΎΠΌΠ±ΠΈΠ½ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΠΎΠΏΠ΅ΡΠ°ΡΠΎΡΠΎΠ² Ρ ΡΠ΅Π»ΡΡ ΡΠΎΠ²ΠΌΠ΅ΡΡΠ½ΠΎΠ³ΠΎ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΡ
Π²ΡΠ΅ΠΌΠΈ ΡΠ°ΡΡΡΠΌΠΈ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΡ ΡΡΠ°Π³ΠΌΠ΅Π½ΡΠΎΠ², ΡΠΎΠ΄Π΅ΡΠΆΠ°ΡΠΈΡ
13. LOGO
Function Sine (x : real) : real;
Const
eps = 0.00001; {ΡΠΎΡΠ½ΠΎΡΡΡ Π²ΡΡΠΈΡΠ»Π΅Π½ΠΈΠΉ}
Var
k : integer;
term, sum : real;
Begin { 0.0 <= x <= ο° }
k := 0; term := x; sum := term;
While abs (term) > eps do
begin
k := k + 1;
term := -term * sqr (x) / (2*k*(2*k+1));
sum := sum +term
end;
Sine : = sum
End;
14. LOGO
Function Sine (x : real) : real;
Const
eps = 0.00001; {ΡΠΎΡΠ½ΠΎΡΡΡ Π²ΡΡΠΈΡΠ»Π΅Π½ΠΈΠΉ}
Var
i : integer;
pi_x, sqrX, term, sum : real;
Begin { 0.0 <= x <= ο° }
pi_x := pi β x;
If pi_x < x then x := pi_x;
i := 0; term := x; sum := term; sqrX : = sqr(X);
While abs (term) > eps do
begin
i := i + 2;
term := -term * sqr (x) / (i*(i+1));
sum := sum +term
end;
Sine := sum
End;